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Finding the Fourth Proportional to 7,172, 10,758 and 2,308

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Solution

The fourth proportional to 7,172, 10,758 and 2,308 is: 3,462

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172 : 10,758 = 2,308 : x
  2. Step 2: Convert to fraction form
    7,172/10,758 = 2,308/x
  3. Step 3: Cross multiply
    7,172x = 10,758 × 2,308
  4. Step 4: Simplify right side
    7,172x = 24,829,464
  5. Step 5: Solve for x
    x = 24,829,464/7,172
  6. Step 6: Final answer
    x = 3,462

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.