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Finding the Fourth Proportional to 2,522.93, 3,784.42 and 879.48

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Solution

The fourth proportional to 2,522.93, 3,784.42 and 879.48 is: 1,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.93 : 3,784.42 = 879.48 : x
  2. Step 2: Convert to fraction form
    2,522.93/3,784.42 = 879.48/x
  3. Step 3: Cross multiply
    2,522.93x = 3,784.42 × 879.48
  4. Step 4: Simplify right side
    2,522.93x = 3,328,312.16
  5. Step 5: Solve for x
    x = 3,328,312.16/2,522.93
  6. Step 6: Final answer
    x = 1,319.22

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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.