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Finding the Fourth Proportional to 3,160.74, 4,741.31 and 969.62

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Solution

The fourth proportional to 3,160.74, 4,741.31 and 969.62 is: 1,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.74 : 4,741.31 = 969.62 : x
  2. Step 2: Convert to fraction form
    3,160.74/4,741.31 = 969.62/x
  3. Step 3: Cross multiply
    3,160.74x = 4,741.31 × 969.62
  4. Step 4: Simplify right side
    3,160.74x = 4,597,269.00
  5. Step 5: Solve for x
    x = 4,597,269.00/3,160.74
  6. Step 6: Final answer
    x = 1,454.49

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Half scale
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Double scale
Find fourth proportional to 3,161.74, 4,742.81 and 970.62
Similar ratio
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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.