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Finding the Fourth Proportional to 7,286, 10,054.32 and 4,142

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Solution

The fourth proportional to 7,286, 10,054.32 and 4,142 is: 5,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286 : 10,054.32 = 4,142 : x
  2. Step 2: Convert to fraction form
    7,286/10,054.32 = 4,142/x
  3. Step 3: Cross multiply
    7,286x = 10,054.32 × 4,142
  4. Step 4: Simplify right side
    7,286x = 41,644,993.44
  5. Step 5: Solve for x
    x = 41,644,993.44/7,286
  6. Step 6: Final answer
    x = 5,715.76

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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.