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Finding the Fourth Proportional to 2,076, 2,864.80 and 1,191.92

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Solution

The fourth proportional to 2,076, 2,864.80 and 1,191.92 is: 1,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076 : 2,864.80 = 1,191.92 : x
  2. Step 2: Convert to fraction form
    2,076/2,864.80 = 1,191.92/x
  3. Step 3: Cross multiply
    2,076x = 2,864.80 × 1,191.92
  4. Step 4: Simplify right side
    2,076x = 3,414,612.42
  5. Step 5: Solve for x
    x = 3,414,612.42/2,076
  6. Step 6: Final answer
    x = 1,644.80

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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.