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Finding the Fourth Proportional to 2,934.68, 4,402.10 and 854.75

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Solution

The fourth proportional to 2,934.68, 4,402.10 and 854.75 is: 1,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.68 : 4,402.10 = 854.75 : x
  2. Step 2: Convert to fraction form
    2,934.68/4,402.10 = 854.75/x
  3. Step 3: Cross multiply
    2,934.68x = 4,402.10 × 854.75
  4. Step 4: Simplify right side
    2,934.68x = 3,762,703.31
  5. Step 5: Solve for x
    x = 3,762,703.31/2,934.68
  6. Step 6: Final answer
    x = 1,282.15

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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.