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Finding the Fourth Proportional to 5,789.64, 7,987.95 and 3,271.44

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Solution

The fourth proportional to 5,789.64, 7,987.95 and 3,271.44 is: 4,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.64 : 7,987.95 = 3,271.44 : x
  2. Step 2: Convert to fraction form
    5,789.64/7,987.95 = 3,271.44/x
  3. Step 3: Cross multiply
    5,789.64x = 7,987.95 × 3,271.44
  4. Step 4: Simplify right side
    5,789.64x = 26,132,099.15
  5. Step 5: Solve for x
    x = 26,132,099.15/5,789.64
  6. Step 6: Final answer
    x = 4,513.60

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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.