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Finding the Fourth Proportional to 15,169.71, 20,930.67 and 9,200.19

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Solution

The fourth proportional to 15,169.71, 20,930.67 and 9,200.19 is: 12,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,169.71 : 20,930.67 = 9,200.19 : x
  2. Step 2: Convert to fraction form
    15,169.71/20,930.67 = 9,200.19/x
  3. Step 3: Cross multiply
    15,169.71x = 20,930.67 × 9,200.19
  4. Step 4: Simplify right side
    15,169.71x = 192,566,140.83
  5. Step 5: Solve for x
    x = 192,566,140.83/15,169.71
  6. Step 6: Final answer
    x = 12,694.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.