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Finding the Fourth Proportional to 10,438, 15,657 and 3,142

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Solution

The fourth proportional to 10,438, 15,657 and 3,142 is: 4,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438 : 15,657 = 3,142 : x
  2. Step 2: Convert to fraction form
    10,438/15,657 = 3,142/x
  3. Step 3: Cross multiply
    10,438x = 15,657 × 3,142
  4. Step 4: Simplify right side
    10,438x = 49,194,294
  5. Step 5: Solve for x
    x = 49,194,294/10,438
  6. Step 6: Final answer
    x = 4,713

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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.