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Finding the Fourth Proportional to 2,864.62, 4,296.86 and 890.24

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Solution

The fourth proportional to 2,864.62, 4,296.86 and 890.24 is: 1,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.62 : 4,296.86 = 890.24 : x
  2. Step 2: Convert to fraction form
    2,864.62/4,296.86 = 890.24/x
  3. Step 3: Cross multiply
    2,864.62x = 4,296.86 × 890.24
  4. Step 4: Simplify right side
    2,864.62x = 3,825,236.65
  5. Step 5: Solve for x
    x = 3,825,236.65/2,864.62
  6. Step 6: Final answer
    x = 1,335.34

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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.