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Finding the Fourth Proportional to 9,502.92, 14,257.23 and 6,734.91

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Solution

The fourth proportional to 9,502.92, 14,257.23 and 6,734.91 is: 10,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.92 : 14,257.23 = 6,734.91 : x
  2. Step 2: Convert to fraction form
    9,502.92/14,257.23 = 6,734.91/x
  3. Step 3: Cross multiply
    9,502.92x = 14,257.23 × 6,734.91
  4. Step 4: Simplify right side
    9,502.92x = 96,021,160.90
  5. Step 5: Solve for x
    x = 96,021,160.90/9,502.92
  6. Step 6: Final answer
    x = 10,104.38

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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.