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Finding the Fourth Proportional to 10,536, 14,540.96 and 6,120

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Solution

The fourth proportional to 10,536, 14,540.96 and 6,120 is: 8,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536 : 14,540.96 = 6,120 : x
  2. Step 2: Convert to fraction form
    10,536/14,540.96 = 6,120/x
  3. Step 3: Cross multiply
    10,536x = 14,540.96 × 6,120
  4. Step 4: Simplify right side
    10,536x = 88,990,675.20
  5. Step 5: Solve for x
    x = 88,990,675.20/10,536
  6. Step 6: Final answer
    x = 8,446.34

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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.