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Finding the Fourth Proportional to 5,143.70, 7,715.55 and 4,906.10

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Solution

The fourth proportional to 5,143.70, 7,715.55 and 4,906.10 is: 7,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.70 : 7,715.55 = 4,906.10 : x
  2. Step 2: Convert to fraction form
    5,143.70/7,715.55 = 4,906.10/x
  3. Step 3: Cross multiply
    5,143.70x = 7,715.55 × 4,906.10
  4. Step 4: Simplify right side
    5,143.70x = 37,853,259.86
  5. Step 5: Solve for x
    x = 37,853,259.86/5,143.70
  6. Step 6: Final answer
    x = 7,359.15

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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.