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Finding the Fourth Proportional to 6,277.38, 8,661.90 and 3,758.90

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Solution

The fourth proportional to 6,277.38, 8,661.90 and 3,758.90 is: 5,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.38 : 8,661.90 = 3,758.90 : x
  2. Step 2: Convert to fraction form
    6,277.38/8,661.90 = 3,758.90/x
  3. Step 3: Cross multiply
    6,277.38x = 8,661.90 × 3,758.90
  4. Step 4: Simplify right side
    6,277.38x = 32,559,215.91
  5. Step 5: Solve for x
    x = 32,559,215.91/6,277.38
  6. Step 6: Final answer
    x = 5,186.75

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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.