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Finding the Fourth Proportional to 1,985.90, 2,978.88 and 1,369.44

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Solution

The fourth proportional to 1,985.90, 2,978.88 and 1,369.44 is: 2,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.90 : 2,978.88 = 1,369.44 : x
  2. Step 2: Convert to fraction form
    1,985.90/2,978.88 = 1,369.44/x
  3. Step 3: Cross multiply
    1,985.90x = 2,978.88 × 1,369.44
  4. Step 4: Simplify right side
    1,985.90x = 4,079,397.43
  5. Step 5: Solve for x
    x = 4,079,397.43/1,985.90
  6. Step 6: Final answer
    x = 2,054.18

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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.