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Finding the Fourth Proportional to 7,072.50, 9,760.86 and 4,278

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Solution

The fourth proportional to 7,072.50, 9,760.86 and 4,278 is: 5,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.50 : 9,760.86 = 4,278 : x
  2. Step 2: Convert to fraction form
    7,072.50/9,760.86 = 4,278/x
  3. Step 3: Cross multiply
    7,072.50x = 9,760.86 × 4,278
  4. Step 4: Simplify right side
    7,072.50x = 41,756,959.08
  5. Step 5: Solve for x
    x = 41,756,959.08/7,072.50
  6. Step 6: Final answer
    x = 5,904.13

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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.