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Finding the Fourth Proportional to 28,311, 42,463.11 and 9,591

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Solution

The fourth proportional to 28,311, 42,463.11 and 9,591 is: 14,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,311 : 42,463.11 = 9,591 : x
  2. Step 2: Convert to fraction form
    28,311/42,463.11 = 9,591/x
  3. Step 3: Cross multiply
    28,311x = 42,463.11 × 9,591
  4. Step 4: Simplify right side
    28,311x = 407,263,688.01
  5. Step 5: Solve for x
    x = 407,263,688.01/28,311
  6. Step 6: Final answer
    x = 14,385.35

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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.