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Finding the Fourth Proportional to 10,989.64, 16,470.06 and 9,577

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Solution

The fourth proportional to 10,989.64, 16,470.06 and 9,577 is: 14,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.64 : 16,470.06 = 9,577 : x
  2. Step 2: Convert to fraction form
    10,989.64/16,470.06 = 9,577/x
  3. Step 3: Cross multiply
    10,989.64x = 16,470.06 × 9,577
  4. Step 4: Simplify right side
    10,989.64x = 157,733,764.62
  5. Step 5: Solve for x
    x = 157,733,764.62/10,989.64
  6. Step 6: Final answer
    x = 14,352.95

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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.