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Finding the Fourth Proportional to 2,689.44, 4,032.43 and 1,044.63

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Solution

The fourth proportional to 2,689.44, 4,032.43 and 1,044.63 is: 1,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.44 : 4,032.43 = 1,044.63 : x
  2. Step 2: Convert to fraction form
    2,689.44/4,032.43 = 1,044.63/x
  3. Step 3: Cross multiply
    2,689.44x = 4,032.43 × 1,044.63
  4. Step 4: Simplify right side
    2,689.44x = 4,212,397.35
  5. Step 5: Solve for x
    x = 4,212,397.35/2,689.44
  6. Step 6: Final answer
    x = 1,566.28

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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.