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Finding the Fourth Proportional to 2,772.72, 4,159.67 and 923.72

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Solution

The fourth proportional to 2,772.72, 4,159.67 and 923.72 is: 1,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.72 : 4,159.67 = 923.72 : x
  2. Step 2: Convert to fraction form
    2,772.72/4,159.67 = 923.72/x
  3. Step 3: Cross multiply
    2,772.72x = 4,159.67 × 923.72
  4. Step 4: Simplify right side
    2,772.72x = 3,842,344.96
  5. Step 5: Solve for x
    x = 3,842,344.96/2,772.72
  6. Step 6: Final answer
    x = 1,385.77

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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.