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Finding the Fourth Proportional to 9,335.70, 12,882.10 and 6,317.42

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Solution

The fourth proportional to 9,335.70, 12,882.10 and 6,317.42 is: 8,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.70 : 12,882.10 = 6,317.42 : x
  2. Step 2: Convert to fraction form
    9,335.70/12,882.10 = 6,317.42/x
  3. Step 3: Cross multiply
    9,335.70x = 12,882.10 × 6,317.42
  4. Step 4: Simplify right side
    9,335.70x = 81,381,636.18
  5. Step 5: Solve for x
    x = 81,381,636.18/9,335.70
  6. Step 6: Final answer
    x = 8,717.25

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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.