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Finding the Fourth Proportional to 2,869.76, 4,301.90 and 920.63

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Solution

The fourth proportional to 2,869.76, 4,301.90 and 920.63 is: 1,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.76 : 4,301.90 = 920.63 : x
  2. Step 2: Convert to fraction form
    2,869.76/4,301.90 = 920.63/x
  3. Step 3: Cross multiply
    2,869.76x = 4,301.90 × 920.63
  4. Step 4: Simplify right side
    2,869.76x = 3,960,458.20
  5. Step 5: Solve for x
    x = 3,960,458.20/2,869.76
  6. Step 6: Final answer
    x = 1,380.07

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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.