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Finding the Fourth Proportional to 6,780.77, 9,357.15 and 3,948.22

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Solution

The fourth proportional to 6,780.77, 9,357.15 and 3,948.22 is: 5,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.77 : 9,357.15 = 3,948.22 : x
  2. Step 2: Convert to fraction form
    6,780.77/9,357.15 = 3,948.22/x
  3. Step 3: Cross multiply
    6,780.77x = 9,357.15 × 3,948.22
  4. Step 4: Simplify right side
    6,780.77x = 36,944,078.19
  5. Step 5: Solve for x
    x = 36,944,078.19/6,780.77
  6. Step 6: Final answer
    x = 5,448.36

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Half scale
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Double scale
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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.