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Finding the Fourth Proportional to 3,172.76, 4,378.20 and 1,775.24

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Solution

The fourth proportional to 3,172.76, 4,378.20 and 1,775.24 is: 2,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.76 : 4,378.20 = 1,775.24 : x
  2. Step 2: Convert to fraction form
    3,172.76/4,378.20 = 1,775.24/x
  3. Step 3: Cross multiply
    3,172.76x = 4,378.20 × 1,775.24
  4. Step 4: Simplify right side
    3,172.76x = 7,772,355.77
  5. Step 5: Solve for x
    x = 7,772,355.77/3,172.76
  6. Step 6: Final answer
    x = 2,449.71

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,173.76, 4,379.58 and 1,776.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.