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Finding the Fourth Proportional to 1,878.42, 2,592.18 and 1,039.11

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Solution

The fourth proportional to 1,878.42, 2,592.18 and 1,039.11 is: 1,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.42 : 2,592.18 = 1,039.11 : x
  2. Step 2: Convert to fraction form
    1,878.42/2,592.18 = 1,039.11/x
  3. Step 3: Cross multiply
    1,878.42x = 2,592.18 × 1,039.11
  4. Step 4: Simplify right side
    1,878.42x = 2,693,560.16
  5. Step 5: Solve for x
    x = 2,693,560.16/1,878.42
  6. Step 6: Final answer
    x = 1,433.95

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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.