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Finding the Fourth Proportional to 2,972.02, 4,101.15 and 1,645.78

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Solution

The fourth proportional to 2,972.02, 4,101.15 and 1,645.78 is: 2,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.02 : 4,101.15 = 1,645.78 : x
  2. Step 2: Convert to fraction form
    2,972.02/4,101.15 = 1,645.78/x
  3. Step 3: Cross multiply
    2,972.02x = 4,101.15 × 1,645.78
  4. Step 4: Simplify right side
    2,972.02x = 6,749,590.65
  5. Step 5: Solve for x
    x = 6,749,590.65/2,972.02
  6. Step 6: Final answer
    x = 2,271.04

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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.