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Finding the Fourth Proportional to 6,138.59, 9,206.19 and 2,389.77

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Solution

The fourth proportional to 6,138.59, 9,206.19 and 2,389.77 is: 3,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.59 : 9,206.19 = 2,389.77 : x
  2. Step 2: Convert to fraction form
    6,138.59/9,206.19 = 2,389.77/x
  3. Step 3: Cross multiply
    6,138.59x = 9,206.19 × 2,389.77
  4. Step 4: Simplify right side
    6,138.59x = 22,000,676.68
  5. Step 5: Solve for x
    x = 22,000,676.68/6,138.59
  6. Step 6: Final answer
    x = 3,584.00

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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.