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Finding the Fourth Proportional to 10,502.78, 15,754.60 and 4,885.72

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Solution

The fourth proportional to 10,502.78, 15,754.60 and 4,885.72 is: 7,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.78 : 15,754.60 = 4,885.72 : x
  2. Step 2: Convert to fraction form
    10,502.78/15,754.60 = 4,885.72/x
  3. Step 3: Cross multiply
    10,502.78x = 15,754.60 × 4,885.72
  4. Step 4: Simplify right side
    10,502.78x = 76,972,531.03
  5. Step 5: Solve for x
    x = 76,972,531.03/10,502.78
  6. Step 6: Final answer
    x = 7,328.78

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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.