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Finding the Fourth Proportional to 28,192, 42,288 and 11,776

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Solution

The fourth proportional to 28,192, 42,288 and 11,776 is: 17,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,192 : 42,288 = 11,776 : x
  2. Step 2: Convert to fraction form
    28,192/42,288 = 11,776/x
  3. Step 3: Cross multiply
    28,192x = 42,288 × 11,776
  4. Step 4: Simplify right side
    28,192x = 497,983,488
  5. Step 5: Solve for x
    x = 497,983,488/28,192
  6. Step 6: Final answer
    x = 17,664

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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.