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Finding the Fourth Proportional to 2,776.32, 4,164 and 927.24

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Solution

The fourth proportional to 2,776.32, 4,164 and 927.24 is: 1,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.32 : 4,164 = 927.24 : x
  2. Step 2: Convert to fraction form
    2,776.32/4,164 = 927.24/x
  3. Step 3: Cross multiply
    2,776.32x = 4,164 × 927.24
  4. Step 4: Simplify right side
    2,776.32x = 3,861,027.36
  5. Step 5: Solve for x
    x = 3,861,027.36/2,776.32
  6. Step 6: Final answer
    x = 1,390.70

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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.