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Finding the Fourth Proportional to 15,250, 21,047.88 and 8,965.84

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Solution

The fourth proportional to 15,250, 21,047.88 and 8,965.84 is: 12,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,250 : 21,047.88 = 8,965.84 : x
  2. Step 2: Convert to fraction form
    15,250/21,047.88 = 8,965.84/x
  3. Step 3: Cross multiply
    15,250x = 21,047.88 × 8,965.84
  4. Step 4: Simplify right side
    15,250x = 188,711,924.42
  5. Step 5: Solve for x
    x = 188,711,924.42/15,250
  6. Step 6: Final answer
    x = 12,374.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.