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Finding the Fourth Proportional to 1,987.98, 2,742.71 and 1,690.26

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Solution

The fourth proportional to 1,987.98, 2,742.71 and 1,690.26 is: 2,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.98 : 2,742.71 = 1,690.26 : x
  2. Step 2: Convert to fraction form
    1,987.98/2,742.71 = 1,690.26/x
  3. Step 3: Cross multiply
    1,987.98x = 2,742.71 × 1,690.26
  4. Step 4: Simplify right side
    1,987.98x = 4,635,893.00
  5. Step 5: Solve for x
    x = 4,635,893.00/1,987.98
  6. Step 6: Final answer
    x = 2,331.96

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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.