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Finding the Fourth Proportional to 15,201.76, 20,986.07 and 9,544.72

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Solution

The fourth proportional to 15,201.76, 20,986.07 and 9,544.72 is: 13,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.76 : 20,986.07 = 9,544.72 : x
  2. Step 2: Convert to fraction form
    15,201.76/20,986.07 = 9,544.72/x
  3. Step 3: Cross multiply
    15,201.76x = 20,986.07 × 9,544.72
  4. Step 4: Simplify right side
    15,201.76x = 200,306,162.05
  5. Step 5: Solve for x
    x = 200,306,162.05/15,201.76
  6. Step 6: Final answer
    x = 13,176.51

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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.