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Finding the Fourth Proportional to 25,542, 38,323.80 and 18,193.68

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Solution

The fourth proportional to 25,542, 38,323.80 and 18,193.68 is: 27,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542 : 38,323.80 = 18,193.68 : x
  2. Step 2: Convert to fraction form
    25,542/38,323.80 = 18,193.68/x
  3. Step 3: Cross multiply
    25,542x = 38,323.80 × 18,193.68
  4. Step 4: Simplify right side
    25,542x = 697,250,953.58
  5. Step 5: Solve for x
    x = 697,250,953.58/25,542
  6. Step 6: Final answer
    x = 27,298.21

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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.