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Finding the Fourth Proportional to 30,497.31, 45,737.18 and 10,505.99

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Solution

The fourth proportional to 30,497.31, 45,737.18 and 10,505.99 is: 15,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.31 : 45,737.18 = 10,505.99 : x
  2. Step 2: Convert to fraction form
    30,497.31/45,737.18 = 10,505.99/x
  3. Step 3: Cross multiply
    30,497.31x = 45,737.18 × 10,505.99
  4. Step 4: Simplify right side
    30,497.31x = 480,514,355.71
  5. Step 5: Solve for x
    x = 480,514,355.71/30,497.31
  6. Step 6: Final answer
    x = 15,755.96

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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.