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Finding the Fourth Proportional to 7,515, 10,371.18 and 4,203

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Solution

The fourth proportional to 7,515, 10,371.18 and 4,203 is: 5,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,515 : 10,371.18 = 4,203 : x
  2. Step 2: Convert to fraction form
    7,515/10,371.18 = 4,203/x
  3. Step 3: Cross multiply
    7,515x = 10,371.18 × 4,203
  4. Step 4: Simplify right side
    7,515x = 43,590,069.54
  5. Step 5: Solve for x
    x = 43,590,069.54/7,515
  6. Step 6: Final answer
    x = 5,800.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.