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Finding the Fourth Proportional to 2,869.63, 4,305.29 and 921.78

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Solution

The fourth proportional to 2,869.63, 4,305.29 and 921.78 is: 1,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.63 : 4,305.29 = 921.78 : x
  2. Step 2: Convert to fraction form
    2,869.63/4,305.29 = 921.78/x
  3. Step 3: Cross multiply
    2,869.63x = 4,305.29 × 921.78
  4. Step 4: Simplify right side
    2,869.63x = 3,968,525.61
  5. Step 5: Solve for x
    x = 3,968,525.61/2,869.63
  6. Step 6: Final answer
    x = 1,382.94

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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.