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Finding the Fourth Proportional to 8,521.99, 12,786.17 and 3,840.59

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Solution

The fourth proportional to 8,521.99, 12,786.17 and 3,840.59 is: 5,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.99 : 12,786.17 = 3,840.59 : x
  2. Step 2: Convert to fraction form
    8,521.99/12,786.17 = 3,840.59/x
  3. Step 3: Cross multiply
    8,521.99x = 12,786.17 × 3,840.59
  4. Step 4: Simplify right side
    8,521.99x = 49,106,449.40
  5. Step 5: Solve for x
    x = 49,106,449.40/8,521.99
  6. Step 6: Final answer
    x = 5,762.32

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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.