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Finding the Fourth Proportional to 15,102.43, 20,842.02 and 8,388.07

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Solution

The fourth proportional to 15,102.43, 20,842.02 and 8,388.07 is: 11,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.43 : 20,842.02 = 8,388.07 : x
  2. Step 2: Convert to fraction form
    15,102.43/20,842.02 = 8,388.07/x
  3. Step 3: Cross multiply
    15,102.43x = 20,842.02 × 8,388.07
  4. Step 4: Simplify right side
    15,102.43x = 174,824,322.70
  5. Step 5: Solve for x
    x = 174,824,322.70/15,102.43
  6. Step 6: Final answer
    x = 11,575.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.