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Finding the Fourth Proportional to 10,103.88, 15,163.72 and 7,005.71

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Solution

The fourth proportional to 10,103.88, 15,163.72 and 7,005.71 is: 10,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.88 : 15,163.72 = 7,005.71 : x
  2. Step 2: Convert to fraction form
    10,103.88/15,163.72 = 7,005.71/x
  3. Step 3: Cross multiply
    10,103.88x = 15,163.72 × 7,005.71
  4. Step 4: Simplify right side
    10,103.88x = 106,232,513.99
  5. Step 5: Solve for x
    x = 106,232,513.99/10,103.88
  6. Step 6: Final answer
    x = 10,514.03

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1.5x scale

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.