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Finding the Fourth Proportional to 9,691, 13,354.90 and 6,891.64

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Solution

The fourth proportional to 9,691, 13,354.90 and 6,891.64 is: 9,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691 : 13,354.90 = 6,891.64 : x
  2. Step 2: Convert to fraction form
    9,691/13,354.90 = 6,891.64/x
  3. Step 3: Cross multiply
    9,691x = 13,354.90 × 6,891.64
  4. Step 4: Simplify right side
    9,691x = 92,037,163.04
  5. Step 5: Solve for x
    x = 92,037,163.04/9,691
  6. Step 6: Final answer
    x = 9,497.18

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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.