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Finding the Fourth Proportional to 7,257, 10,012.20 and 5,018.04

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Solution

The fourth proportional to 7,257, 10,012.20 and 5,018.04 is: 6,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257 : 10,012.20 = 5,018.04 : x
  2. Step 2: Convert to fraction form
    7,257/10,012.20 = 5,018.04/x
  3. Step 3: Cross multiply
    7,257x = 10,012.20 × 5,018.04
  4. Step 4: Simplify right side
    7,257x = 50,241,620.09
  5. Step 5: Solve for x
    x = 50,241,620.09/7,257
  6. Step 6: Final answer
    x = 6,923.19

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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.