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Finding the Fourth Proportional to 2,894.68, 4,341.71 and 814.75

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Solution

The fourth proportional to 2,894.68, 4,341.71 and 814.75 is: 1,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.68 : 4,341.71 = 814.75 : x
  2. Step 2: Convert to fraction form
    2,894.68/4,341.71 = 814.75/x
  3. Step 3: Cross multiply
    2,894.68x = 4,341.71 × 814.75
  4. Step 4: Simplify right side
    2,894.68x = 3,537,408.22
  5. Step 5: Solve for x
    x = 3,537,408.22/2,894.68
  6. Step 6: Final answer
    x = 1,222.04

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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.