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Finding the Fourth Proportional to 1,920.28, 2,876.65 and 996.45

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Solution

The fourth proportional to 1,920.28, 2,876.65 and 996.45 is: 1,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.28 : 2,876.65 = 996.45 : x
  2. Step 2: Convert to fraction form
    1,920.28/2,876.65 = 996.45/x
  3. Step 3: Cross multiply
    1,920.28x = 2,876.65 × 996.45
  4. Step 4: Simplify right side
    1,920.28x = 2,866,432.91
  5. Step 5: Solve for x
    x = 2,866,432.91/1,920.28
  6. Step 6: Final answer
    x = 1,492.72

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1.5x scale

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.