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Finding the Fourth Proportional to 5,324.88, 7,987.32 and 1,863.12

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Solution

The fourth proportional to 5,324.88, 7,987.32 and 1,863.12 is: 2,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.88 : 7,987.32 = 1,863.12 : x
  2. Step 2: Convert to fraction form
    5,324.88/7,987.32 = 1,863.12/x
  3. Step 3: Cross multiply
    5,324.88x = 7,987.32 × 1,863.12
  4. Step 4: Simplify right side
    5,324.88x = 14,881,335.64
  5. Step 5: Solve for x
    x = 14,881,335.64/5,324.88
  6. Step 6: Final answer
    x = 2,794.68

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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.