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Finding the Fourth Proportional to 30,478.80, 45,719.40 and 10,754.52

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Solution

The fourth proportional to 30,478.80, 45,719.40 and 10,754.52 is: 16,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.80 : 45,719.40 = 10,754.52 : x
  2. Step 2: Convert to fraction form
    30,478.80/45,719.40 = 10,754.52/x
  3. Step 3: Cross multiply
    30,478.80x = 45,719.40 × 10,754.52
  4. Step 4: Simplify right side
    30,478.80x = 491,690,201.69
  5. Step 5: Solve for x
    x = 491,690,201.69/30,478.80
  6. Step 6: Final answer
    x = 16,132.20

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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.