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Finding the Fourth Proportional to 2,689.12, 4,035.12 and 2,041.12

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Solution

The fourth proportional to 2,689.12, 4,035.12 and 2,041.12 is: 3,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.12 : 4,035.12 = 2,041.12 : x
  2. Step 2: Convert to fraction form
    2,689.12/4,035.12 = 2,041.12/x
  3. Step 3: Cross multiply
    2,689.12x = 4,035.12 × 2,041.12
  4. Step 4: Simplify right side
    2,689.12x = 8,236,164.13
  5. Step 5: Solve for x
    x = 8,236,164.13/2,689.12
  6. Step 6: Final answer
    x = 3,062.77

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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.