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Finding the Fourth Proportional to 2,489.32, 3,729.12 and 1,829.98

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Solution

The fourth proportional to 2,489.32, 3,729.12 and 1,829.98 is: 2,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.32 : 3,729.12 = 1,829.98 : x
  2. Step 2: Convert to fraction form
    2,489.32/3,729.12 = 1,829.98/x
  3. Step 3: Cross multiply
    2,489.32x = 3,729.12 × 1,829.98
  4. Step 4: Simplify right side
    2,489.32x = 6,824,215.02
  5. Step 5: Solve for x
    x = 6,824,215.02/2,489.32
  6. Step 6: Final answer
    x = 2,741.40

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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.