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Finding the Fourth Proportional to 9,134.71, 13,702.02 and 2,209.21

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Solution

The fourth proportional to 9,134.71, 13,702.02 and 2,209.21 is: 3,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.71 : 13,702.02 = 2,209.21 : x
  2. Step 2: Convert to fraction form
    9,134.71/13,702.02 = 2,209.21/x
  3. Step 3: Cross multiply
    9,134.71x = 13,702.02 × 2,209.21
  4. Step 4: Simplify right side
    9,134.71x = 30,270,639.60
  5. Step 5: Solve for x
    x = 30,270,639.60/9,134.71
  6. Step 6: Final answer
    x = 3,313.80

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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.