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Finding the Fourth Proportional to 30,489.13, 45,734.87 and 9,427.28

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Solution

The fourth proportional to 30,489.13, 45,734.87 and 9,427.28 is: 14,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.13 : 45,734.87 = 9,427.28 : x
  2. Step 2: Convert to fraction form
    30,489.13/45,734.87 = 9,427.28/x
  3. Step 3: Cross multiply
    30,489.13x = 45,734.87 × 9,427.28
  4. Step 4: Simplify right side
    30,489.13x = 431,155,184.80
  5. Step 5: Solve for x
    x = 431,155,184.80/30,489.13
  6. Step 6: Final answer
    x = 14,141.27

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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.