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Finding the Fourth Proportional to 7,399, 11,100.72 and 4,278.28

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Solution

The fourth proportional to 7,399, 11,100.72 and 4,278.28 is: 6,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399 : 11,100.72 = 4,278.28 : x
  2. Step 2: Convert to fraction form
    7,399/11,100.72 = 4,278.28/x
  3. Step 3: Cross multiply
    7,399x = 11,100.72 × 4,278.28
  4. Step 4: Simplify right side
    7,399x = 47,491,988.36
  5. Step 5: Solve for x
    x = 47,491,988.36/7,399
  6. Step 6: Final answer
    x = 6,418.70

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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.