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Finding the Fourth Proportional to 30,471.57, 45,711.14 and 10,746.18

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Solution

The fourth proportional to 30,471.57, 45,711.14 and 10,746.18 is: 16,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.57 : 45,711.14 = 10,746.18 : x
  2. Step 2: Convert to fraction form
    30,471.57/45,711.14 = 10,746.18/x
  3. Step 3: Cross multiply
    30,471.57x = 45,711.14 × 10,746.18
  4. Step 4: Simplify right side
    30,471.57x = 491,220,084.71
  5. Step 5: Solve for x
    x = 491,220,084.71/30,471.57
  6. Step 6: Final answer
    x = 16,120.60

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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.