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Finding the Fourth Proportional to 25,625, 38,443.98 and 7,157

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Solution

The fourth proportional to 25,625, 38,443.98 and 7,157 is: 10,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,625 : 38,443.98 = 7,157 : x
  2. Step 2: Convert to fraction form
    25,625/38,443.98 = 7,157/x
  3. Step 3: Cross multiply
    25,625x = 38,443.98 × 7,157
  4. Step 4: Simplify right side
    25,625x = 275,143,564.86
  5. Step 5: Solve for x
    x = 275,143,564.86/25,625
  6. Step 6: Final answer
    x = 10,737.31

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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.