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Finding the Fourth Proportional to 25,425, 38,137.68 and 6,957

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Solution

The fourth proportional to 25,425, 38,137.68 and 6,957 is: 10,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425 : 38,137.68 = 6,957 : x
  2. Step 2: Convert to fraction form
    25,425/38,137.68 = 6,957/x
  3. Step 3: Cross multiply
    25,425x = 38,137.68 × 6,957
  4. Step 4: Simplify right side
    25,425x = 265,323,839.76
  5. Step 5: Solve for x
    x = 265,323,839.76/25,425
  6. Step 6: Final answer
    x = 10,435.55

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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.