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Finding the Fourth Proportional to 15,802.81, 23,687.20 and 8,399.82

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Solution

The fourth proportional to 15,802.81, 23,687.20 and 8,399.82 is: 12,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.81 : 23,687.20 = 8,399.82 : x
  2. Step 2: Convert to fraction form
    15,802.81/23,687.20 = 8,399.82/x
  3. Step 3: Cross multiply
    15,802.81x = 23,687.20 × 8,399.82
  4. Step 4: Simplify right side
    15,802.81x = 198,968,216.30
  5. Step 5: Solve for x
    x = 198,968,216.30/15,802.81
  6. Step 6: Final answer
    x = 12,590.69

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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.