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Finding the Fourth Proportional to 9,134.99, 13,702.50 and 2,209.49

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Solution

The fourth proportional to 9,134.99, 13,702.50 and 2,209.49 is: 3,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.99 : 13,702.50 = 2,209.49 : x
  2. Step 2: Convert to fraction form
    9,134.99/13,702.50 = 2,209.49/x
  3. Step 3: Cross multiply
    9,134.99x = 13,702.50 × 2,209.49
  4. Step 4: Simplify right side
    9,134.99x = 30,275,536.73
  5. Step 5: Solve for x
    x = 30,275,536.73/9,134.99
  6. Step 6: Final answer
    x = 3,314.24

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Double scale
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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.