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Finding the Fourth Proportional to 10,300, 15,452.22 and 4,144

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Solution

The fourth proportional to 10,300, 15,452.22 and 4,144 is: 6,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300 : 15,452.22 = 4,144 : x
  2. Step 2: Convert to fraction form
    10,300/15,452.22 = 4,144/x
  3. Step 3: Cross multiply
    10,300x = 15,452.22 × 4,144
  4. Step 4: Simplify right side
    10,300x = 64,033,999.68
  5. Step 5: Solve for x
    x = 64,033,999.68/10,300
  6. Step 6: Final answer
    x = 6,216.89

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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.