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Finding the Fourth Proportional to 3,967.65, 5,945.22 and 1,465.40

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Solution

The fourth proportional to 3,967.65, 5,945.22 and 1,465.40 is: 2,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.65 : 5,945.22 = 1,465.40 : x
  2. Step 2: Convert to fraction form
    3,967.65/5,945.22 = 1,465.40/x
  3. Step 3: Cross multiply
    3,967.65x = 5,945.22 × 1,465.40
  4. Step 4: Simplify right side
    3,967.65x = 8,712,088.33
  5. Step 5: Solve for x
    x = 8,712,088.33/3,967.65
  6. Step 6: Final answer
    x = 2,195.78

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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.