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Finding the Fourth Proportional to 29,172, 43,758 and 7,284

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Solution

The fourth proportional to 29,172, 43,758 and 7,284 is: 10,926

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,172 : 43,758 = 7,284 : x
  2. Step 2: Convert to fraction form
    29,172/43,758 = 7,284/x
  3. Step 3: Cross multiply
    29,172x = 43,758 × 7,284
  4. Step 4: Simplify right side
    29,172x = 318,733,272
  5. Step 5: Solve for x
    x = 318,733,272/29,172
  6. Step 6: Final answer
    x = 10,926

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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.