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Finding the Fourth Proportional to 6,347.82, 8,762.12 and 3,697.42

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Solution

The fourth proportional to 6,347.82, 8,762.12 and 3,697.42 is: 5,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.82 : 8,762.12 = 3,697.42 : x
  2. Step 2: Convert to fraction form
    6,347.82/8,762.12 = 3,697.42/x
  3. Step 3: Cross multiply
    6,347.82x = 8,762.12 × 3,697.42
  4. Step 4: Simplify right side
    6,347.82x = 32,397,237.73
  5. Step 5: Solve for x
    x = 32,397,237.73/6,347.82
  6. Step 6: Final answer
    x = 5,103.68

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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.