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Finding the Fourth Proportional to 8,419.66, 11,627.49 and 6,932.50

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Solution

The fourth proportional to 8,419.66, 11,627.49 and 6,932.50 is: 9,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.66 : 11,627.49 = 6,932.50 : x
  2. Step 2: Convert to fraction form
    8,419.66/11,627.49 = 6,932.50/x
  3. Step 3: Cross multiply
    8,419.66x = 11,627.49 × 6,932.50
  4. Step 4: Simplify right side
    8,419.66x = 80,607,574.43
  5. Step 5: Solve for x
    x = 80,607,574.43/8,419.66
  6. Step 6: Final answer
    x = 9,573.73

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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.