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Finding the Fourth Proportional to 11,253.97, 15,530.70 and 7,282

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Solution

The fourth proportional to 11,253.97, 15,530.70 and 7,282 is: 10,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,253.97 : 15,530.70 = 7,282 : x
  2. Step 2: Convert to fraction form
    11,253.97/15,530.70 = 7,282/x
  3. Step 3: Cross multiply
    11,253.97x = 15,530.70 × 7,282
  4. Step 4: Simplify right side
    11,253.97x = 113,094,557.40
  5. Step 5: Solve for x
    x = 113,094,557.40/11,253.97
  6. Step 6: Final answer
    x = 10,049.30

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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.