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Finding the Fourth Proportional to 7,227.88, 9,975.39 and 4,084

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Solution

The fourth proportional to 7,227.88, 9,975.39 and 4,084 is: 5,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.88 : 9,975.39 = 4,084 : x
  2. Step 2: Convert to fraction form
    7,227.88/9,975.39 = 4,084/x
  3. Step 3: Cross multiply
    7,227.88x = 9,975.39 × 4,084
  4. Step 4: Simplify right side
    7,227.88x = 40,739,492.76
  5. Step 5: Solve for x
    x = 40,739,492.76/7,227.88
  6. Step 6: Final answer
    x = 5,636.44

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1.5x scale

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.