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Finding the Fourth Proportional to 9,950.40, 13,722.48 and 7,961.04

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Solution

The fourth proportional to 9,950.40, 13,722.48 and 7,961.04 is: 10,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.40 : 13,722.48 = 7,961.04 : x
  2. Step 2: Convert to fraction form
    9,950.40/13,722.48 = 7,961.04/x
  3. Step 3: Cross multiply
    9,950.40x = 13,722.48 × 7,961.04
  4. Step 4: Simplify right side
    9,950.40x = 109,245,212.18
  5. Step 5: Solve for x
    x = 109,245,212.18/9,950.40
  6. Step 6: Final answer
    x = 10,978.98

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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.