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Finding the Fourth Proportional to 6,488.68, 8,953.86 and 3,836.20

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Solution

The fourth proportional to 6,488.68, 8,953.86 and 3,836.20 is: 5,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.68 : 8,953.86 = 3,836.20 : x
  2. Step 2: Convert to fraction form
    6,488.68/8,953.86 = 3,836.20/x
  3. Step 3: Cross multiply
    6,488.68x = 8,953.86 × 3,836.20
  4. Step 4: Simplify right side
    6,488.68x = 34,348,797.73
  5. Step 5: Solve for x
    x = 34,348,797.73/6,488.68
  6. Step 6: Final answer
    x = 5,293.65

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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.