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Finding the Fourth Proportional to 2,881.92, 4,324 and 1,151.76

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Solution

The fourth proportional to 2,881.92, 4,324 and 1,151.76 is: 1,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.92 : 4,324 = 1,151.76 : x
  2. Step 2: Convert to fraction form
    2,881.92/4,324 = 1,151.76/x
  3. Step 3: Cross multiply
    2,881.92x = 4,324 × 1,151.76
  4. Step 4: Simplify right side
    2,881.92x = 4,980,210.24
  5. Step 5: Solve for x
    x = 4,980,210.24/2,881.92
  6. Step 6: Final answer
    x = 1,728.09

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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.