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Finding the Fourth Proportional to 2,827.16, 4,240.76 and 879.40

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Solution

The fourth proportional to 2,827.16, 4,240.76 and 879.40 is: 1,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.16 : 4,240.76 = 879.40 : x
  2. Step 2: Convert to fraction form
    2,827.16/4,240.76 = 879.40/x
  3. Step 3: Cross multiply
    2,827.16x = 4,240.76 × 879.40
  4. Step 4: Simplify right side
    2,827.16x = 3,729,324.34
  5. Step 5: Solve for x
    x = 3,729,324.34/2,827.16
  6. Step 6: Final answer
    x = 1,319.11

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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.