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Finding the Fourth Proportional to 2,652.56, 3,661.04 and 1,605.20

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Solution

The fourth proportional to 2,652.56, 3,661.04 and 1,605.20 is: 2,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.56 : 3,661.04 = 1,605.20 : x
  2. Step 2: Convert to fraction form
    2,652.56/3,661.04 = 1,605.20/x
  3. Step 3: Cross multiply
    2,652.56x = 3,661.04 × 1,605.20
  4. Step 4: Simplify right side
    2,652.56x = 5,876,701.41
  5. Step 5: Solve for x
    x = 5,876,701.41/2,652.56
  6. Step 6: Final answer
    x = 2,215.48

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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.