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Finding the Fourth Proportional to 2,827.68, 4,242.24 and 879.90

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Solution

The fourth proportional to 2,827.68, 4,242.24 and 879.90 is: 1,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.68 : 4,242.24 = 879.90 : x
  2. Step 2: Convert to fraction form
    2,827.68/4,242.24 = 879.90/x
  3. Step 3: Cross multiply
    2,827.68x = 4,242.24 × 879.90
  4. Step 4: Simplify right side
    2,827.68x = 3,732,746.98
  5. Step 5: Solve for x
    x = 3,732,746.98/2,827.68
  6. Step 6: Final answer
    x = 1,320.07

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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.