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Finding the Fourth Proportional to 2,773.20, 4,158.84 and 923.88

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Solution

The fourth proportional to 2,773.20, 4,158.84 and 923.88 is: 1,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.20 : 4,158.84 = 923.88 : x
  2. Step 2: Convert to fraction form
    2,773.20/4,158.84 = 923.88/x
  3. Step 3: Cross multiply
    2,773.20x = 4,158.84 × 923.88
  4. Step 4: Simplify right side
    2,773.20x = 3,842,269.10
  5. Step 5: Solve for x
    x = 3,842,269.10/2,773.20
  6. Step 6: Final answer
    x = 1,385.50

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1.5x scale

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.