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Finding the Fourth Proportional to 7,654.56, 11,480.76 and 2,459.76

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Solution

The fourth proportional to 7,654.56, 11,480.76 and 2,459.76 is: 3,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.56 : 11,480.76 = 2,459.76 : x
  2. Step 2: Convert to fraction form
    7,654.56/11,480.76 = 2,459.76/x
  3. Step 3: Cross multiply
    7,654.56x = 11,480.76 × 2,459.76
  4. Step 4: Simplify right side
    7,654.56x = 28,239,914.22
  5. Step 5: Solve for x
    x = 28,239,914.22/7,654.56
  6. Step 6: Final answer
    x = 3,689.29

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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.