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Finding the Fourth Proportional to 2,363.78, 3,545.40 and 902.90

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Solution

The fourth proportional to 2,363.78, 3,545.40 and 902.90 is: 1,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.78 : 3,545.40 = 902.90 : x
  2. Step 2: Convert to fraction form
    2,363.78/3,545.40 = 902.90/x
  3. Step 3: Cross multiply
    2,363.78x = 3,545.40 × 902.90
  4. Step 4: Simplify right side
    2,363.78x = 3,201,141.66
  5. Step 5: Solve for x
    x = 3,201,141.66/2,363.78
  6. Step 6: Final answer
    x = 1,354.25

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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.