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Finding the Fourth Proportional to 2,172.76, 3,259.14 and 786.28

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Solution

The fourth proportional to 2,172.76, 3,259.14 and 786.28 is: 1,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.76 : 3,259.14 = 786.28 : x
  2. Step 2: Convert to fraction form
    2,172.76/3,259.14 = 786.28/x
  3. Step 3: Cross multiply
    2,172.76x = 3,259.14 × 786.28
  4. Step 4: Simplify right side
    2,172.76x = 2,562,596.60
  5. Step 5: Solve for x
    x = 2,562,596.60/2,172.76
  6. Step 6: Final answer
    x = 1,179.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.