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Finding the Fourth Proportional to 6,577.80, 9,861.84 and 3,111

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Solution

The fourth proportional to 6,577.80, 9,861.84 and 3,111 is: 4,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.80 : 9,861.84 = 3,111 : x
  2. Step 2: Convert to fraction form
    6,577.80/9,861.84 = 3,111/x
  3. Step 3: Cross multiply
    6,577.80x = 9,861.84 × 3,111
  4. Step 4: Simplify right side
    6,577.80x = 30,680,184.24
  5. Step 5: Solve for x
    x = 30,680,184.24/6,577.80
  6. Step 6: Final answer
    x = 4,664.20

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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.