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Finding the Fourth Proportional to 1,083.42, 1,492 and 1,034.20

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Solution

The fourth proportional to 1,083.42, 1,492 and 1,034.20 is: 1,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.42 : 1,492 = 1,034.20 : x
  2. Step 2: Convert to fraction form
    1,083.42/1,492 = 1,034.20/x
  3. Step 3: Cross multiply
    1,083.42x = 1,492 × 1,034.20
  4. Step 4: Simplify right side
    1,083.42x = 1,543,026.40
  5. Step 5: Solve for x
    x = 1,543,026.40/1,083.42
  6. Step 6: Final answer
    x = 1,424.22

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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.