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Finding the Fourth Proportional to 6,780.83, 9,358.43 and 3,948.25

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Solution

The fourth proportional to 6,780.83, 9,358.43 and 3,948.25 is: 5,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.83 : 9,358.43 = 3,948.25 : x
  2. Step 2: Convert to fraction form
    6,780.83/9,358.43 = 3,948.25/x
  3. Step 3: Cross multiply
    6,780.83x = 9,358.43 × 3,948.25
  4. Step 4: Simplify right side
    6,780.83x = 36,949,421.25
  5. Step 5: Solve for x
    x = 36,949,421.25/6,780.83
  6. Step 6: Final answer
    x = 5,449.10

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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.