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Finding the Fourth Proportional to 10,638, 15,960.04 and 3,619.55

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Solution

The fourth proportional to 10,638, 15,960.04 and 3,619.55 is: 5,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638 : 15,960.04 = 3,619.55 : x
  2. Step 2: Convert to fraction form
    10,638/15,960.04 = 3,619.55/x
  3. Step 3: Cross multiply
    10,638x = 15,960.04 × 3,619.55
  4. Step 4: Simplify right side
    10,638x = 57,768,193.63
  5. Step 5: Solve for x
    x = 57,768,193.63/10,638
  6. Step 6: Final answer
    x = 5,430.36

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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.