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Finding the Fourth Proportional to 1,902.40, 2,853.63 and 862.21

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Solution

The fourth proportional to 1,902.40, 2,853.63 and 862.21 is: 1,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.40 : 2,853.63 = 862.21 : x
  2. Step 2: Convert to fraction form
    1,902.40/2,853.63 = 862.21/x
  3. Step 3: Cross multiply
    1,902.40x = 2,853.63 × 862.21
  4. Step 4: Simplify right side
    1,902.40x = 2,460,428.32
  5. Step 5: Solve for x
    x = 2,460,428.32/1,902.40
  6. Step 6: Final answer
    x = 1,293.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.