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Finding the Fourth Proportional to 3,980.65, 5,970.97 and 1,514.90

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Solution

The fourth proportional to 3,980.65, 5,970.97 and 1,514.90 is: 2,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.65 : 5,970.97 = 1,514.90 : x
  2. Step 2: Convert to fraction form
    3,980.65/5,970.97 = 1,514.90/x
  3. Step 3: Cross multiply
    3,980.65x = 5,970.97 × 1,514.90
  4. Step 4: Simplify right side
    3,980.65x = 9,045,422.45
  5. Step 5: Solve for x
    x = 9,045,422.45/3,980.65
  6. Step 6: Final answer
    x = 2,272.35

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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.