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Finding the Fourth Proportional to 2,772.39, 4,158.63 and 923.48

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Solution

The fourth proportional to 2,772.39, 4,158.63 and 923.48 is: 1,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.39 : 4,158.63 = 923.48 : x
  2. Step 2: Convert to fraction form
    2,772.39/4,158.63 = 923.48/x
  3. Step 3: Cross multiply
    2,772.39x = 4,158.63 × 923.48
  4. Step 4: Simplify right side
    2,772.39x = 3,840,409.90
  5. Step 5: Solve for x
    x = 3,840,409.90/2,772.39
  6. Step 6: Final answer
    x = 1,385.23

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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.