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Finding the Fourth Proportional to 1,774, 2,448.12 and 1,038

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Solution

The fourth proportional to 1,774, 2,448.12 and 1,038 is: 1,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774 : 2,448.12 = 1,038 : x
  2. Step 2: Convert to fraction form
    1,774/2,448.12 = 1,038/x
  3. Step 3: Cross multiply
    1,774x = 2,448.12 × 1,038
  4. Step 4: Simplify right side
    1,774x = 2,541,148.56
  5. Step 5: Solve for x
    x = 2,541,148.56/1,774
  6. Step 6: Final answer
    x = 1,432.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.