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Finding the Fourth Proportional to 2,614, 3,609.48 and 2,261.20

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Solution

The fourth proportional to 2,614, 3,609.48 and 2,261.20 is: 3,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614 : 3,609.48 = 2,261.20 : x
  2. Step 2: Convert to fraction form
    2,614/3,609.48 = 2,261.20/x
  3. Step 3: Cross multiply
    2,614x = 3,609.48 × 2,261.20
  4. Step 4: Simplify right side
    2,614x = 8,161,756.18
  5. Step 5: Solve for x
    x = 8,161,756.18/2,614
  6. Step 6: Final answer
    x = 3,122.32

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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.