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Finding the Fourth Proportional to 2,923.24, 4,384.62 and 871.24

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Solution

The fourth proportional to 2,923.24, 4,384.62 and 871.24 is: 1,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.24 : 4,384.62 = 871.24 : x
  2. Step 2: Convert to fraction form
    2,923.24/4,384.62 = 871.24/x
  3. Step 3: Cross multiply
    2,923.24x = 4,384.62 × 871.24
  4. Step 4: Simplify right side
    2,923.24x = 3,820,056.33
  5. Step 5: Solve for x
    x = 3,820,056.33/2,923.24
  6. Step 6: Final answer
    x = 1,306.79

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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.