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Finding the Fourth Proportional to 17,105.52, 25,658.28 and 7,871.60

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Solution

The fourth proportional to 17,105.52, 25,658.28 and 7,871.60 is: 11,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105.52 : 25,658.28 = 7,871.60 : x
  2. Step 2: Convert to fraction form
    17,105.52/25,658.28 = 7,871.60/x
  3. Step 3: Cross multiply
    17,105.52x = 25,658.28 × 7,871.60
  4. Step 4: Simplify right side
    17,105.52x = 201,971,716.85
  5. Step 5: Solve for x
    x = 201,971,716.85/17,105.52
  6. Step 6: Final answer
    x = 11,807.40

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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.