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Finding the Fourth Proportional to 10,491.50, 15,737.26 and 4,335.66

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Solution

The fourth proportional to 10,491.50, 15,737.26 and 4,335.66 is: 6,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.50 : 15,737.26 = 4,335.66 : x
  2. Step 2: Convert to fraction form
    10,491.50/15,737.26 = 4,335.66/x
  3. Step 3: Cross multiply
    10,491.50x = 15,737.26 × 4,335.66
  4. Step 4: Simplify right side
    10,491.50x = 68,231,408.69
  5. Step 5: Solve for x
    x = 68,231,408.69/10,491.50
  6. Step 6: Final answer
    x = 6,503.49

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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.