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Finding the Fourth Proportional to 3,081.76, 4,621.44 and 1,232.40

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Solution

The fourth proportional to 3,081.76, 4,621.44 and 1,232.40 is: 1,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.76 : 4,621.44 = 1,232.40 : x
  2. Step 2: Convert to fraction form
    3,081.76/4,621.44 = 1,232.40/x
  3. Step 3: Cross multiply
    3,081.76x = 4,621.44 × 1,232.40
  4. Step 4: Simplify right side
    3,081.76x = 5,695,462.66
  5. Step 5: Solve for x
    x = 5,695,462.66/3,081.76
  6. Step 6: Final answer
    x = 1,848.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.