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Finding the Fourth Proportional to 5,321.60, 7,983.96 and 1,859.12

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Solution

The fourth proportional to 5,321.60, 7,983.96 and 1,859.12 is: 2,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.60 : 7,983.96 = 1,859.12 : x
  2. Step 2: Convert to fraction form
    5,321.60/7,983.96 = 1,859.12/x
  3. Step 3: Cross multiply
    5,321.60x = 7,983.96 × 1,859.12
  4. Step 4: Simplify right side
    5,321.60x = 14,843,139.72
  5. Step 5: Solve for x
    x = 14,843,139.72/5,321.60
  6. Step 6: Final answer
    x = 2,789.22

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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.