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Finding the Fourth Proportional to 8,943.12, 12,342.92 and 8,549.36

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Solution

The fourth proportional to 8,943.12, 12,342.92 and 8,549.36 is: 11,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.12 : 12,342.92 = 8,549.36 : x
  2. Step 2: Convert to fraction form
    8,943.12/12,342.92 = 8,549.36/x
  3. Step 3: Cross multiply
    8,943.12x = 12,342.92 × 8,549.36
  4. Step 4: Simplify right side
    8,943.12x = 105,524,066.53
  5. Step 5: Solve for x
    x = 105,524,066.53/8,943.12
  6. Step 6: Final answer
    x = 11,799.47

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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.