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Finding the Fourth Proportional to 2,869.79, 4,304.54 and 921.84

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Solution

The fourth proportional to 2,869.79, 4,304.54 and 921.84 is: 1,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.79 : 4,304.54 = 921.84 : x
  2. Step 2: Convert to fraction form
    2,869.79/4,304.54 = 921.84/x
  3. Step 3: Cross multiply
    2,869.79x = 4,304.54 × 921.84
  4. Step 4: Simplify right side
    2,869.79x = 3,968,097.15
  5. Step 5: Solve for x
    x = 3,968,097.15/2,869.79
  6. Step 6: Final answer
    x = 1,382.71

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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.