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Finding the Fourth Proportional to 28,244, 42,366 and 9,776

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Solution

The fourth proportional to 28,244, 42,366 and 9,776 is: 14,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,244 : 42,366 = 9,776 : x
  2. Step 2: Convert to fraction form
    28,244/42,366 = 9,776/x
  3. Step 3: Cross multiply
    28,244x = 42,366 × 9,776
  4. Step 4: Simplify right side
    28,244x = 414,170,016
  5. Step 5: Solve for x
    x = 414,170,016/28,244
  6. Step 6: Final answer
    x = 14,664

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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.