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Finding the Fourth Proportional to 2,800.40, 4,197.87 and 1,044.12

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Solution

The fourth proportional to 2,800.40, 4,197.87 and 1,044.12 is: 1,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.40 : 4,197.87 = 1,044.12 : x
  2. Step 2: Convert to fraction form
    2,800.40/4,197.87 = 1,044.12/x
  3. Step 3: Cross multiply
    2,800.40x = 4,197.87 × 1,044.12
  4. Step 4: Simplify right side
    2,800.40x = 4,383,080.02
  5. Step 5: Solve for x
    x = 4,383,080.02/2,800.40
  6. Step 6: Final answer
    x = 1,565.16

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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.