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Finding the Fourth Proportional to 2,612.80, 3,605.12 and 1,564.48

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Solution

The fourth proportional to 2,612.80, 3,605.12 and 1,564.48 is: 2,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.80 : 3,605.12 = 1,564.48 : x
  2. Step 2: Convert to fraction form
    2,612.80/3,605.12 = 1,564.48/x
  3. Step 3: Cross multiply
    2,612.80x = 3,605.12 × 1,564.48
  4. Step 4: Simplify right side
    2,612.80x = 5,640,138.14
  5. Step 5: Solve for x
    x = 5,640,138.14/2,612.80
  6. Step 6: Final answer
    x = 2,158.66

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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.