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Finding the Fourth Proportional to 10,102.76, 15,153.08 and 2,708

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Solution

The fourth proportional to 10,102.76, 15,153.08 and 2,708 is: 4,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.76 : 15,153.08 = 2,708 : x
  2. Step 2: Convert to fraction form
    10,102.76/15,153.08 = 2,708/x
  3. Step 3: Cross multiply
    10,102.76x = 15,153.08 × 2,708
  4. Step 4: Simplify right side
    10,102.76x = 41,034,540.64
  5. Step 5: Solve for x
    x = 41,034,540.64/10,102.76
  6. Step 6: Final answer
    x = 4,061.72

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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.