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Finding the Fourth Proportional to 48,438, 72,657 and 15,606

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Solution

The fourth proportional to 48,438, 72,657 and 15,606 is: 23,409

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438 : 72,657 = 15,606 : x
  2. Step 2: Convert to fraction form
    48,438/72,657 = 15,606/x
  3. Step 3: Cross multiply
    48,438x = 72,657 × 15,606
  4. Step 4: Simplify right side
    48,438x = 1,133,885,142
  5. Step 5: Solve for x
    x = 1,133,885,142/48,438
  6. Step 6: Final answer
    x = 23,409

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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.