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Finding the Fourth Proportional to 1,254.78, 1,874.43 and 1,230.48

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Solution

The fourth proportional to 1,254.78, 1,874.43 and 1,230.48 is: 1,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.78 : 1,874.43 = 1,230.48 : x
  2. Step 2: Convert to fraction form
    1,254.78/1,874.43 = 1,230.48/x
  3. Step 3: Cross multiply
    1,254.78x = 1,874.43 × 1,230.48
  4. Step 4: Simplify right side
    1,254.78x = 2,306,448.63
  5. Step 5: Solve for x
    x = 2,306,448.63/1,254.78
  6. Step 6: Final answer
    x = 1,838.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.