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Finding the Fourth Proportional to 7,879.90, 11,827.08 and 3,987.04

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Solution

The fourth proportional to 7,879.90, 11,827.08 and 3,987.04 is: 5,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.90 : 11,827.08 = 3,987.04 : x
  2. Step 2: Convert to fraction form
    7,879.90/11,827.08 = 3,987.04/x
  3. Step 3: Cross multiply
    7,879.90x = 11,827.08 × 3,987.04
  4. Step 4: Simplify right side
    7,879.90x = 47,155,041.04
  5. Step 5: Solve for x
    x = 47,155,041.04/7,879.90
  6. Step 6: Final answer
    x = 5,984.22

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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.