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Finding the Fourth Proportional to 25,894, 38,841 and 6,438

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Solution

The fourth proportional to 25,894, 38,841 and 6,438 is: 9,657

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894 : 38,841 = 6,438 : x
  2. Step 2: Convert to fraction form
    25,894/38,841 = 6,438/x
  3. Step 3: Cross multiply
    25,894x = 38,841 × 6,438
  4. Step 4: Simplify right side
    25,894x = 250,058,358
  5. Step 5: Solve for x
    x = 250,058,358/25,894
  6. Step 6: Final answer
    x = 9,657

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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.