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Finding the Fourth Proportional to 6,691.84, 9,246.23 and 6,455.32

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Solution

The fourth proportional to 6,691.84, 9,246.23 and 6,455.32 is: 8,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.84 : 9,246.23 = 6,455.32 : x
  2. Step 2: Convert to fraction form
    6,691.84/9,246.23 = 6,455.32/x
  3. Step 3: Cross multiply
    6,691.84x = 9,246.23 × 6,455.32
  4. Step 4: Simplify right side
    6,691.84x = 59,687,341.17
  5. Step 5: Solve for x
    x = 59,687,341.17/6,691.84
  6. Step 6: Final answer
    x = 8,919.42

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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.