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Finding the Fourth Proportional to 10,382.88, 15,549.21 and 7,266

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Solution

The fourth proportional to 10,382.88, 15,549.21 and 7,266 is: 10,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.88 : 15,549.21 = 7,266 : x
  2. Step 2: Convert to fraction form
    10,382.88/15,549.21 = 7,266/x
  3. Step 3: Cross multiply
    10,382.88x = 15,549.21 × 7,266
  4. Step 4: Simplify right side
    10,382.88x = 112,980,559.86
  5. Step 5: Solve for x
    x = 112,980,559.86/10,382.88
  6. Step 6: Final answer
    x = 10,881.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.