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Finding the Fourth Proportional to 3,980.52, 5,970.78 and 1,514.77

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Solution

The fourth proportional to 3,980.52, 5,970.78 and 1,514.77 is: 2,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.52 : 5,970.78 = 1,514.77 : x
  2. Step 2: Convert to fraction form
    3,980.52/5,970.78 = 1,514.77/x
  3. Step 3: Cross multiply
    3,980.52x = 5,970.78 × 1,514.77
  4. Step 4: Simplify right side
    3,980.52x = 9,044,343.49
  5. Step 5: Solve for x
    x = 9,044,343.49/3,980.52
  6. Step 6: Final answer
    x = 2,272.15

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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.