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Finding the Fourth Proportional to 30,432.69, 45,649.02 and 9,654.57

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Solution

The fourth proportional to 30,432.69, 45,649.02 and 9,654.57 is: 14,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,432.69 : 45,649.02 = 9,654.57 : x
  2. Step 2: Convert to fraction form
    30,432.69/45,649.02 = 9,654.57/x
  3. Step 3: Cross multiply
    30,432.69x = 45,649.02 × 9,654.57
  4. Step 4: Simplify right side
    30,432.69x = 440,721,659.02
  5. Step 5: Solve for x
    x = 440,721,659.02/30,432.69
  6. Step 6: Final answer
    x = 14,481.85

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1.5x scale

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.