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Finding the Fourth Proportional to 2,981.92, 4,469.64 and 2,547.76

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Solution

The fourth proportional to 2,981.92, 4,469.64 and 2,547.76 is: 3,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.92 : 4,469.64 = 2,547.76 : x
  2. Step 2: Convert to fraction form
    2,981.92/4,469.64 = 2,547.76/x
  3. Step 3: Cross multiply
    2,981.92x = 4,469.64 × 2,547.76
  4. Step 4: Simplify right side
    2,981.92x = 11,387,570.01
  5. Step 5: Solve for x
    x = 11,387,570.01/2,981.92
  6. Step 6: Final answer
    x = 3,818.87

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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.