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Finding the Fourth Proportional to 23,286, 34,929 and 9,435

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Solution

The fourth proportional to 23,286, 34,929 and 9,435 is: 14,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286 : 34,929 = 9,435 : x
  2. Step 2: Convert to fraction form
    23,286/34,929 = 9,435/x
  3. Step 3: Cross multiply
    23,286x = 34,929 × 9,435
  4. Step 4: Simplify right side
    23,286x = 329,555,115
  5. Step 5: Solve for x
    x = 329,555,115/23,286
  6. Step 6: Final answer
    x = 14,152.50

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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.