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Finding the Fourth Proportional to 1,275.18, 1,902.18 and 1,254.04

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Solution

The fourth proportional to 1,275.18, 1,902.18 and 1,254.04 is: 1,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.18 : 1,902.18 = 1,254.04 : x
  2. Step 2: Convert to fraction form
    1,275.18/1,902.18 = 1,254.04/x
  3. Step 3: Cross multiply
    1,275.18x = 1,902.18 × 1,254.04
  4. Step 4: Simplify right side
    1,275.18x = 2,385,394.03
  5. Step 5: Solve for x
    x = 2,385,394.03/1,275.18
  6. Step 6: Final answer
    x = 1,870.63

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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.