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Finding the Fourth Proportional to 7,872.42, 11,803.28 and 3,918.66

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Solution

The fourth proportional to 7,872.42, 11,803.28 and 3,918.66 is: 5,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.42 : 11,803.28 = 3,918.66 : x
  2. Step 2: Convert to fraction form
    7,872.42/11,803.28 = 3,918.66/x
  3. Step 3: Cross multiply
    7,872.42x = 11,803.28 × 3,918.66
  4. Step 4: Simplify right side
    7,872.42x = 46,253,041.20
  5. Step 5: Solve for x
    x = 46,253,041.20/7,872.42
  6. Step 6: Final answer
    x = 5,875.33

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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.