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Finding the Fourth Proportional to 2,987.13, 4,480.77 and 795.91

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Solution

The fourth proportional to 2,987.13, 4,480.77 and 795.91 is: 1,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.13 : 4,480.77 = 795.91 : x
  2. Step 2: Convert to fraction form
    2,987.13/4,480.77 = 795.91/x
  3. Step 3: Cross multiply
    2,987.13x = 4,480.77 × 795.91
  4. Step 4: Simplify right side
    2,987.13x = 3,566,289.65
  5. Step 5: Solve for x
    x = 3,566,289.65/2,987.13
  6. Step 6: Final answer
    x = 1,193.88

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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.