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Finding the Fourth Proportional to 7,942.51, 10,961.01 and 4,405.51

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Solution

The fourth proportional to 7,942.51, 10,961.01 and 4,405.51 is: 6,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.51 : 10,961.01 = 4,405.51 : x
  2. Step 2: Convert to fraction form
    7,942.51/10,961.01 = 4,405.51/x
  3. Step 3: Cross multiply
    7,942.51x = 10,961.01 × 4,405.51
  4. Step 4: Simplify right side
    7,942.51x = 48,288,839.17
  5. Step 5: Solve for x
    x = 48,288,839.17/7,942.51
  6. Step 6: Final answer
    x = 6,079.80

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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.