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Finding the Fourth Proportional to 1,255.84, 1,874.62 and 1,153.12

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Solution

The fourth proportional to 1,255.84, 1,874.62 and 1,153.12 is: 1,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.84 : 1,874.62 = 1,153.12 : x
  2. Step 2: Convert to fraction form
    1,255.84/1,874.62 = 1,153.12/x
  3. Step 3: Cross multiply
    1,255.84x = 1,874.62 × 1,153.12
  4. Step 4: Simplify right side
    1,255.84x = 2,161,661.81
  5. Step 5: Solve for x
    x = 2,161,661.81/1,255.84
  6. Step 6: Final answer
    x = 1,721.29

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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.