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Finding the Fourth Proportional to 5,859.74, 8,784.74 and 2,161.28

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Solution

The fourth proportional to 5,859.74, 8,784.74 and 2,161.28 is: 3,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.74 : 8,784.74 = 2,161.28 : x
  2. Step 2: Convert to fraction form
    5,859.74/8,784.74 = 2,161.28/x
  3. Step 3: Cross multiply
    5,859.74x = 8,784.74 × 2,161.28
  4. Step 4: Simplify right side
    5,859.74x = 18,986,244.35
  5. Step 5: Solve for x
    x = 18,986,244.35/5,859.74
  6. Step 6: Final answer
    x = 3,240.12

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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.