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Finding the Fourth Proportional to 2,620, 3,617.76 and 2,292.22

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Solution

The fourth proportional to 2,620, 3,617.76 and 2,292.22 is: 3,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620 : 3,617.76 = 2,292.22 : x
  2. Step 2: Convert to fraction form
    2,620/3,617.76 = 2,292.22/x
  3. Step 3: Cross multiply
    2,620x = 3,617.76 × 2,292.22
  4. Step 4: Simplify right side
    2,620x = 8,292,701.83
  5. Step 5: Solve for x
    x = 8,292,701.83/2,620
  6. Step 6: Final answer
    x = 3,165.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.