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Finding the Fourth Proportional to 9,404.50, 14,111.38 and 4,472.86

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Solution

The fourth proportional to 9,404.50, 14,111.38 and 4,472.86 is: 6,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.50 : 14,111.38 = 4,472.86 : x
  2. Step 2: Convert to fraction form
    9,404.50/14,111.38 = 4,472.86/x
  3. Step 3: Cross multiply
    9,404.50x = 14,111.38 × 4,472.86
  4. Step 4: Simplify right side
    9,404.50x = 63,118,227.15
  5. Step 5: Solve for x
    x = 63,118,227.15/9,404.50
  6. Step 6: Final answer
    x = 6,711.49

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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.