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Finding the Fourth Proportional to 3,980.88, 5,967.90 and 1,514.28

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Solution

The fourth proportional to 3,980.88, 5,967.90 and 1,514.28 is: 2,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.88 : 5,967.90 = 1,514.28 : x
  2. Step 2: Convert to fraction form
    3,980.88/5,967.90 = 1,514.28/x
  3. Step 3: Cross multiply
    3,980.88x = 5,967.90 × 1,514.28
  4. Step 4: Simplify right side
    3,980.88x = 9,037,071.61
  5. Step 5: Solve for x
    x = 9,037,071.61/3,980.88
  6. Step 6: Final answer
    x = 2,270.12

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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.