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Finding the Fourth Proportional to 2,797.32, 4,195.16 and 1,929

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Solution

The fourth proportional to 2,797.32, 4,195.16 and 1,929 is: 2,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.32 : 4,195.16 = 1,929 : x
  2. Step 2: Convert to fraction form
    2,797.32/4,195.16 = 1,929/x
  3. Step 3: Cross multiply
    2,797.32x = 4,195.16 × 1,929
  4. Step 4: Simplify right side
    2,797.32x = 8,092,463.64
  5. Step 5: Solve for x
    x = 8,092,463.64/2,797.32
  6. Step 6: Final answer
    x = 2,892.93

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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.