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Finding the Fourth Proportional to 4,886.74, 6,743.72 and 2,648.61

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Solution

The fourth proportional to 4,886.74, 6,743.72 and 2,648.61 is: 3,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.74 : 6,743.72 = 2,648.61 : x
  2. Step 2: Convert to fraction form
    4,886.74/6,743.72 = 2,648.61/x
  3. Step 3: Cross multiply
    4,886.74x = 6,743.72 × 2,648.61
  4. Step 4: Simplify right side
    4,886.74x = 17,861,490.85
  5. Step 5: Solve for x
    x = 17,861,490.85/4,886.74
  6. Step 6: Final answer
    x = 3,655.09

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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.