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Finding the Fourth Proportional to 6,317.42, 8,715.76 and 3,764.66

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Solution

The fourth proportional to 6,317.42, 8,715.76 and 3,764.66 is: 5,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.42 : 8,715.76 = 3,764.66 : x
  2. Step 2: Convert to fraction form
    6,317.42/8,715.76 = 3,764.66/x
  3. Step 3: Cross multiply
    6,317.42x = 8,715.76 × 3,764.66
  4. Step 4: Simplify right side
    6,317.42x = 32,811,873.04
  5. Step 5: Solve for x
    x = 32,811,873.04/6,317.42
  6. Step 6: Final answer
    x = 5,193.87

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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.