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Finding the Fourth Proportional to 8,747.40, 13,145.40 and 7,678.20

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Solution

The fourth proportional to 8,747.40, 13,145.40 and 7,678.20 is: 11,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747.40 : 13,145.40 = 7,678.20 : x
  2. Step 2: Convert to fraction form
    8,747.40/13,145.40 = 7,678.20/x
  3. Step 3: Cross multiply
    8,747.40x = 13,145.40 × 7,678.20
  4. Step 4: Simplify right side
    8,747.40x = 100,933,010.28
  5. Step 5: Solve for x
    x = 100,933,010.28/8,747.40
  6. Step 6: Final answer
    x = 11,538.63

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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.