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Finding the Fourth Proportional to 7,140.99, 10,711.17 and 1,946.86

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Solution

The fourth proportional to 7,140.99, 10,711.17 and 1,946.86 is: 2,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.99 : 10,711.17 = 1,946.86 : x
  2. Step 2: Convert to fraction form
    7,140.99/10,711.17 = 1,946.86/x
  3. Step 3: Cross multiply
    7,140.99x = 10,711.17 × 1,946.86
  4. Step 4: Simplify right side
    7,140.99x = 20,853,148.43
  5. Step 5: Solve for x
    x = 20,853,148.43/7,140.99
  6. Step 6: Final answer
    x = 2,920.20

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Double scale
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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.