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Finding the Fourth Proportional to 3,541.76, 4,888 and 2,049.20

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Solution

The fourth proportional to 3,541.76, 4,888 and 2,049.20 is: 2,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.76 : 4,888 = 2,049.20 : x
  2. Step 2: Convert to fraction form
    3,541.76/4,888 = 2,049.20/x
  3. Step 3: Cross multiply
    3,541.76x = 4,888 × 2,049.20
  4. Step 4: Simplify right side
    3,541.76x = 10,016,489.60
  5. Step 5: Solve for x
    x = 10,016,489.60/3,541.76
  6. Step 6: Final answer
    x = 2,828.11

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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.