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Finding the Fourth Proportional to 6,772.80, 9,346.86 and 3,788.76

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Solution

The fourth proportional to 6,772.80, 9,346.86 and 3,788.76 is: 5,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.80 : 9,346.86 = 3,788.76 : x
  2. Step 2: Convert to fraction form
    6,772.80/9,346.86 = 3,788.76/x
  3. Step 3: Cross multiply
    6,772.80x = 9,346.86 × 3,788.76
  4. Step 4: Simplify right side
    6,772.80x = 35,413,009.29
  5. Step 5: Solve for x
    x = 35,413,009.29/6,772.80
  6. Step 6: Final answer
    x = 5,228.71

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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.