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Finding the Fourth Proportional to 7,987.20, 11,978.88 and 4,089.60

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Solution

The fourth proportional to 7,987.20, 11,978.88 and 4,089.60 is: 6,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.20 : 11,978.88 = 4,089.60 : x
  2. Step 2: Convert to fraction form
    7,987.20/11,978.88 = 4,089.60/x
  3. Step 3: Cross multiply
    7,987.20x = 11,978.88 × 4,089.60
  4. Step 4: Simplify right side
    7,987.20x = 48,988,827.65
  5. Step 5: Solve for x
    x = 48,988,827.65/7,987.20
  6. Step 6: Final answer
    x = 6,133.42

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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.