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Finding the Fourth Proportional to 2,713.98, 4,073.02 and 1,985.43

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Solution

The fourth proportional to 2,713.98, 4,073.02 and 1,985.43 is: 2,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.98 : 4,073.02 = 1,985.43 : x
  2. Step 2: Convert to fraction form
    2,713.98/4,073.02 = 1,985.43/x
  3. Step 3: Cross multiply
    2,713.98x = 4,073.02 × 1,985.43
  4. Step 4: Simplify right side
    2,713.98x = 8,086,686.17
  5. Step 5: Solve for x
    x = 8,086,686.17/2,713.98
  6. Step 6: Final answer
    x = 2,979.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.