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Finding the Fourth Proportional to 2,363.40, 3,542.40 and 1,390.32

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Solution

The fourth proportional to 2,363.40, 3,542.40 and 1,390.32 is: 2,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.40 : 3,542.40 = 1,390.32 : x
  2. Step 2: Convert to fraction form
    2,363.40/3,542.40 = 1,390.32/x
  3. Step 3: Cross multiply
    2,363.40x = 3,542.40 × 1,390.32
  4. Step 4: Simplify right side
    2,363.40x = 4,925,069.57
  5. Step 5: Solve for x
    x = 4,925,069.57/2,363.40
  6. Step 6: Final answer
    x = 2,083.89

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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.