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Finding the Fourth Proportional to 7,238.43, 9,981.10 and 4,715.86

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Solution

The fourth proportional to 7,238.43, 9,981.10 and 4,715.86 is: 6,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.43 : 9,981.10 = 4,715.86 : x
  2. Step 2: Convert to fraction form
    7,238.43/9,981.10 = 4,715.86/x
  3. Step 3: Cross multiply
    7,238.43x = 9,981.10 × 4,715.86
  4. Step 4: Simplify right side
    7,238.43x = 47,069,470.25
  5. Step 5: Solve for x
    x = 47,069,470.25/7,238.43
  6. Step 6: Final answer
    x = 6,502.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.