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Finding the Fourth Proportional to 9,882.90, 13,638.41 and 7,367.22

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Solution

The fourth proportional to 9,882.90, 13,638.41 and 7,367.22 is: 10,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.90 : 13,638.41 = 7,367.22 : x
  2. Step 2: Convert to fraction form
    9,882.90/13,638.41 = 7,367.22/x
  3. Step 3: Cross multiply
    9,882.90x = 13,638.41 × 7,367.22
  4. Step 4: Simplify right side
    9,882.90x = 100,477,166.92
  5. Step 5: Solve for x
    x = 100,477,166.92/9,882.90
  6. Step 6: Final answer
    x = 10,166.77

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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.