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Finding the Fourth Proportional to 7,642.21, 11,460.92 and 2,961.90

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Solution

The fourth proportional to 7,642.21, 11,460.92 and 2,961.90 is: 4,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.21 : 11,460.92 = 2,961.90 : x
  2. Step 2: Convert to fraction form
    7,642.21/11,460.92 = 2,961.90/x
  3. Step 3: Cross multiply
    7,642.21x = 11,460.92 × 2,961.90
  4. Step 4: Simplify right side
    7,642.21x = 33,946,026.83
  5. Step 5: Solve for x
    x = 33,946,026.83/7,642.21
  6. Step 6: Final answer
    x = 4,441.91

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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.