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Finding the Fourth Proportional to 9,139.86, 13,690.64 and 5,836.12

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Solution

The fourth proportional to 9,139.86, 13,690.64 and 5,836.12 is: 8,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.86 : 13,690.64 = 5,836.12 : x
  2. Step 2: Convert to fraction form
    9,139.86/13,690.64 = 5,836.12/x
  3. Step 3: Cross multiply
    9,139.86x = 13,690.64 × 5,836.12
  4. Step 4: Simplify right side
    9,139.86x = 79,900,198.28
  5. Step 5: Solve for x
    x = 79,900,198.28/9,139.86
  6. Step 6: Final answer
    x = 8,741.95

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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.