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Finding the Fourth Proportional to 9,286, 13,929 and 3,130

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Solution

The fourth proportional to 9,286, 13,929 and 3,130 is: 4,695

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286 : 13,929 = 3,130 : x
  2. Step 2: Convert to fraction form
    9,286/13,929 = 3,130/x
  3. Step 3: Cross multiply
    9,286x = 13,929 × 3,130
  4. Step 4: Simplify right side
    9,286x = 43,597,770
  5. Step 5: Solve for x
    x = 43,597,770/9,286
  6. Step 6: Final answer
    x = 4,695

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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.