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Finding the Fourth Proportional to 9,290.16, 13,930.92 and 3,134.16

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Solution

The fourth proportional to 9,290.16, 13,930.92 and 3,134.16 is: 4,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.16 : 13,930.92 = 3,134.16 : x
  2. Step 2: Convert to fraction form
    9,290.16/13,930.92 = 3,134.16/x
  3. Step 3: Cross multiply
    9,290.16x = 13,930.92 × 3,134.16
  4. Step 4: Simplify right side
    9,290.16x = 43,661,732.23
  5. Step 5: Solve for x
    x = 43,661,732.23/9,290.16
  6. Step 6: Final answer
    x = 4,699.78

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1.5x scale

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.