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Finding the Fourth Proportional to 48,588, 72,882 and 15,756

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Solution

The fourth proportional to 48,588, 72,882 and 15,756 is: 23,634

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,588 : 72,882 = 15,756 : x
  2. Step 2: Convert to fraction form
    48,588/72,882 = 15,756/x
  3. Step 3: Cross multiply
    48,588x = 72,882 × 15,756
  4. Step 4: Simplify right side
    48,588x = 1,148,328,792
  5. Step 5: Solve for x
    x = 1,148,328,792/48,588
  6. Step 6: Final answer
    x = 23,634

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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.