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Finding the Fourth Proportional to 2,838.45, 4,257.69 and 864.10

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Solution

The fourth proportional to 2,838.45, 4,257.69 and 864.10 is: 1,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.45 : 4,257.69 = 864.10 : x
  2. Step 2: Convert to fraction form
    2,838.45/4,257.69 = 864.10/x
  3. Step 3: Cross multiply
    2,838.45x = 4,257.69 × 864.10
  4. Step 4: Simplify right side
    2,838.45x = 3,679,069.93
  5. Step 5: Solve for x
    x = 3,679,069.93/2,838.45
  6. Step 6: Final answer
    x = 1,296.15

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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.