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Finding the Fourth Proportional to 9,290, 13,935 and 3,134

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Solution

The fourth proportional to 9,290, 13,935 and 3,134 is: 4,701

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290 : 13,935 = 3,134 : x
  2. Step 2: Convert to fraction form
    9,290/13,935 = 3,134/x
  3. Step 3: Cross multiply
    9,290x = 13,935 × 3,134
  4. Step 4: Simplify right side
    9,290x = 43,672,290
  5. Step 5: Solve for x
    x = 43,672,290/9,290
  6. Step 6: Final answer
    x = 4,701

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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.