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Finding the Fourth Proportional to 7,691.78, 10,615.46 and 4,709.59

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Solution

The fourth proportional to 7,691.78, 10,615.46 and 4,709.59 is: 6,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.78 : 10,615.46 = 4,709.59 : x
  2. Step 2: Convert to fraction form
    7,691.78/10,615.46 = 4,709.59/x
  3. Step 3: Cross multiply
    7,691.78x = 10,615.46 × 4,709.59
  4. Step 4: Simplify right side
    7,691.78x = 49,994,414.17
  5. Step 5: Solve for x
    x = 49,994,414.17/7,691.78
  6. Step 6: Final answer
    x = 6,499.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.