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Finding the Fourth Proportional to 28,370.00, 42,542.68 and 9,645

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Solution

The fourth proportional to 28,370.00, 42,542.68 and 9,645 is: 14,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,370.00 : 42,542.68 = 9,645 : x
  2. Step 2: Convert to fraction form
    28,370.00/42,542.68 = 9,645/x
  3. Step 3: Cross multiply
    28,370.00x = 42,542.68 × 9,645
  4. Step 4: Simplify right side
    28,370.00x = 410,324,124.49
  5. Step 5: Solve for x
    x = 410,324,124.49/28,370.00
  6. Step 6: Final answer
    x = 14,463.31

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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.