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Finding the Fourth Proportional to 15,171.14, 20,930.08 and 9,200.63

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Solution

The fourth proportional to 15,171.14, 20,930.08 and 9,200.63 is: 12,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.14 : 20,930.08 = 9,200.63 : x
  2. Step 2: Convert to fraction form
    15,171.14/20,930.08 = 9,200.63/x
  3. Step 3: Cross multiply
    15,171.14x = 20,930.08 × 9,200.63
  4. Step 4: Simplify right side
    15,171.14x = 192,569,921.95
  5. Step 5: Solve for x
    x = 192,569,921.95/15,171.14
  6. Step 6: Final answer
    x = 12,693.17

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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.