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Finding the Fourth Proportional to 7,229.14, 9,981.36 and 5,714.44

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Solution

The fourth proportional to 7,229.14, 9,981.36 and 5,714.44 is: 7,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.14 : 9,981.36 = 5,714.44 : x
  2. Step 2: Convert to fraction form
    7,229.14/9,981.36 = 5,714.44/x
  3. Step 3: Cross multiply
    7,229.14x = 9,981.36 × 5,714.44
  4. Step 4: Simplify right side
    7,229.14x = 57,037,857.89
  5. Step 5: Solve for x
    x = 57,037,857.89/7,229.14
  6. Step 6: Final answer
    x = 7,889.99

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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.