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Finding the Fourth Proportional to 6,781.98, 9,357.58 and 3,948.72

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Solution

The fourth proportional to 6,781.98, 9,357.58 and 3,948.72 is: 5,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.98 : 9,357.58 = 3,948.72 : x
  2. Step 2: Convert to fraction form
    6,781.98/9,357.58 = 3,948.72/x
  3. Step 3: Cross multiply
    6,781.98x = 9,357.58 × 3,948.72
  4. Step 4: Simplify right side
    6,781.98x = 36,950,463.30
  5. Step 5: Solve for x
    x = 36,950,463.30/6,781.98
  6. Step 6: Final answer
    x = 5,448.33

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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.