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Finding the Fourth Proportional to 30,059.52, 45,089.28 and 13,632

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Solution

The fourth proportional to 30,059.52, 45,089.28 and 13,632 is: 20,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,059.52 : 45,089.28 = 13,632 : x
  2. Step 2: Convert to fraction form
    30,059.52/45,089.28 = 13,632/x
  3. Step 3: Cross multiply
    30,059.52x = 45,089.28 × 13,632
  4. Step 4: Simplify right side
    30,059.52x = 614,657,064.96
  5. Step 5: Solve for x
    x = 614,657,064.96/30,059.52
  6. Step 6: Final answer
    x = 20,448

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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.