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Finding the Fourth Proportional to 10,125.88, 15,163.71 and 7,009

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Solution

The fourth proportional to 10,125.88, 15,163.71 and 7,009 is: 10,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.88 : 15,163.71 = 7,009 : x
  2. Step 2: Convert to fraction form
    10,125.88/15,163.71 = 7,009/x
  3. Step 3: Cross multiply
    10,125.88x = 15,163.71 × 7,009
  4. Step 4: Simplify right side
    10,125.88x = 106,282,443.39
  5. Step 5: Solve for x
    x = 106,282,443.39/10,125.88
  6. Step 6: Final answer
    x = 10,496.12

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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.