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Finding the Fourth Proportional to 7,832.55, 11,748.87 and 1,989.18

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Solution

The fourth proportional to 7,832.55, 11,748.87 and 1,989.18 is: 2,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.55 : 11,748.87 = 1,989.18 : x
  2. Step 2: Convert to fraction form
    7,832.55/11,748.87 = 1,989.18/x
  3. Step 3: Cross multiply
    7,832.55x = 11,748.87 × 1,989.18
  4. Step 4: Simplify right side
    7,832.55x = 23,370,617.23
  5. Step 5: Solve for x
    x = 23,370,617.23/7,832.55
  6. Step 6: Final answer
    x = 2,983.78

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Similar ratio
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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.