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Finding the Fourth Proportional to 9,387.30, 12,964.16 and 8,122.28

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Solution

The fourth proportional to 9,387.30, 12,964.16 and 8,122.28 is: 11,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.30 : 12,964.16 = 8,122.28 : x
  2. Step 2: Convert to fraction form
    9,387.30/12,964.16 = 8,122.28/x
  3. Step 3: Cross multiply
    9,387.30x = 12,964.16 × 8,122.28
  4. Step 4: Simplify right side
    9,387.30x = 105,298,537.48
  5. Step 5: Solve for x
    x = 105,298,537.48/9,387.30
  6. Step 6: Final answer
    x = 11,217.13

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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.