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Finding the Fourth Proportional to 2,942.35, 4,412.81 and 862.40

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Solution

The fourth proportional to 2,942.35, 4,412.81 and 862.40 is: 1,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.35 : 4,412.81 = 862.40 : x
  2. Step 2: Convert to fraction form
    2,942.35/4,412.81 = 862.40/x
  3. Step 3: Cross multiply
    2,942.35x = 4,412.81 × 862.40
  4. Step 4: Simplify right side
    2,942.35x = 3,805,620.53
  5. Step 5: Solve for x
    x = 3,805,620.53/2,942.35
  6. Step 6: Final answer
    x = 1,293.40

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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.