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Finding the Fourth Proportional to 7,785, 11,677.50 and 2,591.28

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Solution

The fourth proportional to 7,785, 11,677.50 and 2,591.28 is: 3,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 11,677.50 = 2,591.28 : x
  2. Step 2: Convert to fraction form
    7,785/11,677.50 = 2,591.28/x
  3. Step 3: Cross multiply
    7,785x = 11,677.50 × 2,591.28
  4. Step 4: Simplify right side
    7,785x = 30,259,672.20
  5. Step 5: Solve for x
    x = 30,259,672.20/7,785
  6. Step 6: Final answer
    x = 3,886.92

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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.