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Finding the Fourth Proportional to 10,122.71, 13,978.14 and 6,352.42

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Solution

The fourth proportional to 10,122.71, 13,978.14 and 6,352.42 is: 8,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.71 : 13,978.14 = 6,352.42 : x
  2. Step 2: Convert to fraction form
    10,122.71/13,978.14 = 6,352.42/x
  3. Step 3: Cross multiply
    10,122.71x = 13,978.14 × 6,352.42
  4. Step 4: Simplify right side
    10,122.71x = 88,794,914.45
  5. Step 5: Solve for x
    x = 88,794,914.45/10,122.71
  6. Step 6: Final answer
    x = 8,771.85

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1.5x scale

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.