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Finding the Fourth Proportional to 30,321.80, 45,463.61 and 9,254.83

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Solution

The fourth proportional to 30,321.80, 45,463.61 and 9,254.83 is: 13,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.80 : 45,463.61 = 9,254.83 : x
  2. Step 2: Convert to fraction form
    30,321.80/45,463.61 = 9,254.83/x
  3. Step 3: Cross multiply
    30,321.80x = 45,463.61 × 9,254.83
  4. Step 4: Simplify right side
    30,321.80x = 420,757,935.46
  5. Step 5: Solve for x
    x = 420,757,935.46/30,321.80
  6. Step 6: Final answer
    x = 13,876.42

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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.