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Finding the Fourth Proportional to 15,198.47, 20,977.40 and 8,912.87

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Solution

The fourth proportional to 15,198.47, 20,977.40 and 8,912.87 is: 12,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.47 : 20,977.40 = 8,912.87 : x
  2. Step 2: Convert to fraction form
    15,198.47/20,977.40 = 8,912.87/x
  3. Step 3: Cross multiply
    15,198.47x = 20,977.40 × 8,912.87
  4. Step 4: Simplify right side
    15,198.47x = 186,968,847.02
  5. Step 5: Solve for x
    x = 186,968,847.02/15,198.47
  6. Step 6: Final answer
    x = 12,301.82

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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.