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Finding the Fourth Proportional to 7,744.49, 11,617.49 and 2,478.17

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Solution

The fourth proportional to 7,744.49, 11,617.49 and 2,478.17 is: 3,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.49 : 11,617.49 = 2,478.17 : x
  2. Step 2: Convert to fraction form
    7,744.49/11,617.49 = 2,478.17/x
  3. Step 3: Cross multiply
    7,744.49x = 11,617.49 × 2,478.17
  4. Step 4: Simplify right side
    7,744.49x = 28,790,044.72
  5. Step 5: Solve for x
    x = 28,790,044.72/7,744.49
  6. Step 6: Final answer
    x = 3,717.49

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1.5x scale

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.