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Finding the Fourth Proportional to 10,139, 15,208.43 and 2,744.22

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Solution

The fourth proportional to 10,139, 15,208.43 and 2,744.22 is: 4,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139 : 15,208.43 = 2,744.22 : x
  2. Step 2: Convert to fraction form
    10,139/15,208.43 = 2,744.22/x
  3. Step 3: Cross multiply
    10,139x = 15,208.43 × 2,744.22
  4. Step 4: Simplify right side
    10,139x = 41,735,277.77
  5. Step 5: Solve for x
    x = 41,735,277.77/10,139
  6. Step 6: Final answer
    x = 4,116.31

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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.