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Finding the Fourth Proportional to 2,909.47, 4,363.79 and 934.84

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Solution

The fourth proportional to 2,909.47, 4,363.79 and 934.84 is: 1,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.47 : 4,363.79 = 934.84 : x
  2. Step 2: Convert to fraction form
    2,909.47/4,363.79 = 934.84/x
  3. Step 3: Cross multiply
    2,909.47x = 4,363.79 × 934.84
  4. Step 4: Simplify right side
    2,909.47x = 4,079,447.54
  5. Step 5: Solve for x
    x = 4,079,447.54/2,909.47
  6. Step 6: Final answer
    x = 1,402.13

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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.