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Finding the Fourth Proportional to 5,902.98, 8,145 and 3,665.40

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Solution

The fourth proportional to 5,902.98, 8,145 and 3,665.40 is: 5,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.98 : 8,145 = 3,665.40 : x
  2. Step 2: Convert to fraction form
    5,902.98/8,145 = 3,665.40/x
  3. Step 3: Cross multiply
    5,902.98x = 8,145 × 3,665.40
  4. Step 4: Simplify right side
    5,902.98x = 29,854,683
  5. Step 5: Solve for x
    x = 29,854,683/5,902.98
  6. Step 6: Final answer
    x = 5,057.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.