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Finding the Fourth Proportional to 2,158.78, 3,235.45 and 924.73

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Solution

The fourth proportional to 2,158.78, 3,235.45 and 924.73 is: 1,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.78 : 3,235.45 = 924.73 : x
  2. Step 2: Convert to fraction form
    2,158.78/3,235.45 = 924.73/x
  3. Step 3: Cross multiply
    2,158.78x = 3,235.45 × 924.73
  4. Step 4: Simplify right side
    2,158.78x = 2,991,917.68
  5. Step 5: Solve for x
    x = 2,991,917.68/2,158.78
  6. Step 6: Final answer
    x = 1,385.93

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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.