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Finding the Fourth Proportional to 30,269.52, 45,411.54 and 9,493

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Solution

The fourth proportional to 30,269.52, 45,411.54 and 9,493 is: 14,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.52 : 45,411.54 = 9,493 : x
  2. Step 2: Convert to fraction form
    30,269.52/45,411.54 = 9,493/x
  3. Step 3: Cross multiply
    30,269.52x = 45,411.54 × 9,493
  4. Step 4: Simplify right side
    30,269.52x = 431,091,749.22
  5. Step 5: Solve for x
    x = 431,091,749.22/30,269.52
  6. Step 6: Final answer
    x = 14,241.78

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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.