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Finding the Fourth Proportional to 1,959.92, 2,925.88 and 1,891.60

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Solution

The fourth proportional to 1,959.92, 2,925.88 and 1,891.60 is: 2,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.92 : 2,925.88 = 1,891.60 : x
  2. Step 2: Convert to fraction form
    1,959.92/2,925.88 = 1,891.60/x
  3. Step 3: Cross multiply
    1,959.92x = 2,925.88 × 1,891.60
  4. Step 4: Simplify right side
    1,959.92x = 5,534,594.61
  5. Step 5: Solve for x
    x = 5,534,594.61/1,959.92
  6. Step 6: Final answer
    x = 2,823.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.