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Finding the Fourth Proportional to 6,342.57, 9,516.57 and 3,420.18

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Solution

The fourth proportional to 6,342.57, 9,516.57 and 3,420.18 is: 5,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.57 : 9,516.57 = 3,420.18 : x
  2. Step 2: Convert to fraction form
    6,342.57/9,516.57 = 3,420.18/x
  3. Step 3: Cross multiply
    6,342.57x = 9,516.57 × 3,420.18
  4. Step 4: Simplify right side
    6,342.57x = 32,548,382.38
  5. Step 5: Solve for x
    x = 32,548,382.38/6,342.57
  6. Step 6: Final answer
    x = 5,131.73

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1.5x scale

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.