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Finding the Fourth Proportional to 10,125.88, 15,188.81 and 3,802.21

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Solution

The fourth proportional to 10,125.88, 15,188.81 and 3,802.21 is: 5,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.88 : 15,188.81 = 3,802.21 : x
  2. Step 2: Convert to fraction form
    10,125.88/15,188.81 = 3,802.21/x
  3. Step 3: Cross multiply
    10,125.88x = 15,188.81 × 3,802.21
  4. Step 4: Simplify right side
    10,125.88x = 57,751,016.80
  5. Step 5: Solve for x
    x = 57,751,016.80/10,125.88
  6. Step 6: Final answer
    x = 5,703.31

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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.