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Finding the Fourth Proportional to 6,443.84, 8,891.28 and 6,115.76

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Solution

The fourth proportional to 6,443.84, 8,891.28 and 6,115.76 is: 8,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.84 : 8,891.28 = 6,115.76 : x
  2. Step 2: Convert to fraction form
    6,443.84/8,891.28 = 6,115.76/x
  3. Step 3: Cross multiply
    6,443.84x = 8,891.28 × 6,115.76
  4. Step 4: Simplify right side
    6,443.84x = 54,376,934.57
  5. Step 5: Solve for x
    x = 54,376,934.57/6,443.84
  6. Step 6: Final answer
    x = 8,438.59

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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.