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Finding the Fourth Proportional to 9,920.82, 13,591.67 and 9,547.20

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Solution

The fourth proportional to 9,920.82, 13,591.67 and 9,547.20 is: 13,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.82 : 13,591.67 = 9,547.20 : x
  2. Step 2: Convert to fraction form
    9,920.82/13,591.67 = 9,547.20/x
  3. Step 3: Cross multiply
    9,920.82x = 13,591.67 × 9,547.20
  4. Step 4: Simplify right side
    9,920.82x = 129,762,344.09
  5. Step 5: Solve for x
    x = 129,762,344.09/9,920.82
  6. Step 6: Final answer
    x = 13,079.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.