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Finding the Fourth Proportional to 3,980.14, 5,968.79 and 1,514.30

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Solution

The fourth proportional to 3,980.14, 5,968.79 and 1,514.30 is: 2,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.14 : 5,968.79 = 1,514.30 : x
  2. Step 2: Convert to fraction form
    3,980.14/5,968.79 = 1,514.30/x
  3. Step 3: Cross multiply
    3,980.14x = 5,968.79 × 1,514.30
  4. Step 4: Simplify right side
    3,980.14x = 9,038,531.13
  5. Step 5: Solve for x
    x = 9,038,531.13/3,980.14
  6. Step 6: Final answer
    x = 2,270.91

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1.5x scale

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.