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Finding the Fourth Proportional to 7,103, 10,654.68 and 2,486

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Solution

The fourth proportional to 7,103, 10,654.68 and 2,486 is: 3,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103 : 10,654.68 = 2,486 : x
  2. Step 2: Convert to fraction form
    7,103/10,654.68 = 2,486/x
  3. Step 3: Cross multiply
    7,103x = 10,654.68 × 2,486
  4. Step 4: Simplify right side
    7,103x = 26,487,534.48
  5. Step 5: Solve for x
    x = 26,487,534.48/7,103
  6. Step 6: Final answer
    x = 3,729.06

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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.