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Finding the Fourth Proportional to 3,918, 5,407.08 and 2,149.88

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Solution

The fourth proportional to 3,918, 5,407.08 and 2,149.88 is: 2,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918 : 5,407.08 = 2,149.88 : x
  2. Step 2: Convert to fraction form
    3,918/5,407.08 = 2,149.88/x
  3. Step 3: Cross multiply
    3,918x = 5,407.08 × 2,149.88
  4. Step 4: Simplify right side
    3,918x = 11,624,573.15
  5. Step 5: Solve for x
    x = 11,624,573.15/3,918
  6. Step 6: Final answer
    x = 2,966.97

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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.