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Finding the Fourth Proportional to 2,872.02, 3,965.04 and 1,929.18

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Solution

The fourth proportional to 2,872.02, 3,965.04 and 1,929.18 is: 2,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.02 : 3,965.04 = 1,929.18 : x
  2. Step 2: Convert to fraction form
    2,872.02/3,965.04 = 1,929.18/x
  3. Step 3: Cross multiply
    2,872.02x = 3,965.04 × 1,929.18
  4. Step 4: Simplify right side
    2,872.02x = 7,649,275.87
  5. Step 5: Solve for x
    x = 7,649,275.87/2,872.02
  6. Step 6: Final answer
    x = 2,663.38

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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.