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Finding the Fourth Proportional to 34,778, 52,167 and 10,154

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Solution

The fourth proportional to 34,778, 52,167 and 10,154 is: 15,231

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,778 : 52,167 = 10,154 : x
  2. Step 2: Convert to fraction form
    34,778/52,167 = 10,154/x
  3. Step 3: Cross multiply
    34,778x = 52,167 × 10,154
  4. Step 4: Simplify right side
    34,778x = 529,703,718
  5. Step 5: Solve for x
    x = 529,703,718/34,778
  6. Step 6: Final answer
    x = 15,231

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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.