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Finding the Fourth Proportional to 1,955.20, 2,932.32 and 929.92

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Solution

The fourth proportional to 1,955.20, 2,932.32 and 929.92 is: 1,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.20 : 2,932.32 = 929.92 : x
  2. Step 2: Convert to fraction form
    1,955.20/2,932.32 = 929.92/x
  3. Step 3: Cross multiply
    1,955.20x = 2,932.32 × 929.92
  4. Step 4: Simplify right side
    1,955.20x = 2,726,823.01
  5. Step 5: Solve for x
    x = 2,726,823.01/1,955.20
  6. Step 6: Final answer
    x = 1,394.65

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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.