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Finding the Fourth Proportional to 10,920, 16,365.84 and 6,232.80

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Solution

The fourth proportional to 10,920, 16,365.84 and 6,232.80 is: 9,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920 : 16,365.84 = 6,232.80 : x
  2. Step 2: Convert to fraction form
    10,920/16,365.84 = 6,232.80/x
  3. Step 3: Cross multiply
    10,920x = 16,365.84 × 6,232.80
  4. Step 4: Simplify right side
    10,920x = 102,005,007.55
  5. Step 5: Solve for x
    x = 102,005,007.55/10,920
  6. Step 6: Final answer
    x = 9,341.12

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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.