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Finding the Fourth Proportional to 6,394.86, 9,589.02 and 2,929.14

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Solution

The fourth proportional to 6,394.86, 9,589.02 and 2,929.14 is: 4,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.86 : 9,589.02 = 2,929.14 : x
  2. Step 2: Convert to fraction form
    6,394.86/9,589.02 = 2,929.14/x
  3. Step 3: Cross multiply
    6,394.86x = 9,589.02 × 2,929.14
  4. Step 4: Simplify right side
    6,394.86x = 28,087,582.04
  5. Step 5: Solve for x
    x = 28,087,582.04/6,394.86
  6. Step 6: Final answer
    x = 4,392.21

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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.