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Finding the Fourth Proportional to 2,224.47, 3,336.69 and 763.62

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Solution

The fourth proportional to 2,224.47, 3,336.69 and 763.62 is: 1,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.47 : 3,336.69 = 763.62 : x
  2. Step 2: Convert to fraction form
    2,224.47/3,336.69 = 763.62/x
  3. Step 3: Cross multiply
    2,224.47x = 3,336.69 × 763.62
  4. Step 4: Simplify right side
    2,224.47x = 2,547,963.22
  5. Step 5: Solve for x
    x = 2,547,963.22/2,224.47
  6. Step 6: Final answer
    x = 1,145.42

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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.