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Finding the Fourth Proportional to 10,135, 15,201.73 and 3,561.63

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Solution

The fourth proportional to 10,135, 15,201.73 and 3,561.63 is: 5,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135 : 15,201.73 = 3,561.63 : x
  2. Step 2: Convert to fraction form
    10,135/15,201.73 = 3,561.63/x
  3. Step 3: Cross multiply
    10,135x = 15,201.73 × 3,561.63
  4. Step 4: Simplify right side
    10,135x = 54,142,937.62
  5. Step 5: Solve for x
    x = 54,142,937.62/10,135
  6. Step 6: Final answer
    x = 5,342.17

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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.