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Finding the Fourth Proportional to 2,862.72, 4,289.04 and 1,399.92

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Solution

The fourth proportional to 2,862.72, 4,289.04 and 1,399.92 is: 2,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.72 : 4,289.04 = 1,399.92 : x
  2. Step 2: Convert to fraction form
    2,862.72/4,289.04 = 1,399.92/x
  3. Step 3: Cross multiply
    2,862.72x = 4,289.04 × 1,399.92
  4. Step 4: Simplify right side
    2,862.72x = 6,004,312.88
  5. Step 5: Solve for x
    x = 6,004,312.88/2,862.72
  6. Step 6: Final answer
    x = 2,097.42

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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.