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Finding the Fourth Proportional to 25,542, 38,285.73 and 12,365.46

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Solution

The fourth proportional to 25,542, 38,285.73 and 12,365.46 is: 18,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542 : 38,285.73 = 12,365.46 : x
  2. Step 2: Convert to fraction form
    25,542/38,285.73 = 12,365.46/x
  3. Step 3: Cross multiply
    25,542x = 38,285.73 × 12,365.46
  4. Step 4: Simplify right side
    25,542x = 473,420,662.89
  5. Step 5: Solve for x
    x = 473,420,662.89/25,542
  6. Step 6: Final answer
    x = 18,534.99

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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.