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Finding the Fourth Proportional to 5,791.20, 7,987.50 and 4,089

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Solution

The fourth proportional to 5,791.20, 7,987.50 and 4,089 is: 5,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.20 : 7,987.50 = 4,089 : x
  2. Step 2: Convert to fraction form
    5,791.20/7,987.50 = 4,089/x
  3. Step 3: Cross multiply
    5,791.20x = 7,987.50 × 4,089
  4. Step 4: Simplify right side
    5,791.20x = 32,660,887.50
  5. Step 5: Solve for x
    x = 32,660,887.50/5,791.20
  6. Step 6: Final answer
    x = 5,639.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.