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Finding the Fourth Proportional to 6,242.40, 8,614.08 and 5,577.12

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Solution

The fourth proportional to 6,242.40, 8,614.08 and 5,577.12 is: 7,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.40 : 8,614.08 = 5,577.12 : x
  2. Step 2: Convert to fraction form
    6,242.40/8,614.08 = 5,577.12/x
  3. Step 3: Cross multiply
    6,242.40x = 8,614.08 × 5,577.12
  4. Step 4: Simplify right side
    6,242.40x = 48,041,757.85
  5. Step 5: Solve for x
    x = 48,041,757.85/6,242.40
  6. Step 6: Final answer
    x = 7,696.04

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1.5x scale

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.