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Finding the Fourth Proportional to 2,894.35, 4,341.53 and 814.58

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Solution

The fourth proportional to 2,894.35, 4,341.53 and 814.58 is: 1,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.35 : 4,341.53 = 814.58 : x
  2. Step 2: Convert to fraction form
    2,894.35/4,341.53 = 814.58/x
  3. Step 3: Cross multiply
    2,894.35x = 4,341.53 × 814.58
  4. Step 4: Simplify right side
    2,894.35x = 3,536,519.43
  5. Step 5: Solve for x
    x = 3,536,519.43/2,894.35
  6. Step 6: Final answer
    x = 1,221.87

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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.