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Finding the Fourth Proportional to 6,341.62, 8,731.56 and 5,758.42

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Solution

The fourth proportional to 6,341.62, 8,731.56 and 5,758.42 is: 7,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.62 : 8,731.56 = 5,758.42 : x
  2. Step 2: Convert to fraction form
    6,341.62/8,731.56 = 5,758.42/x
  3. Step 3: Cross multiply
    6,341.62x = 8,731.56 × 5,758.42
  4. Step 4: Simplify right side
    6,341.62x = 50,279,989.74
  5. Step 5: Solve for x
    x = 50,279,989.74/6,341.62
  6. Step 6: Final answer
    x = 7,928.57

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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.