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Finding the Fourth Proportional to 15,150.94, 20,896.47 and 9,847.48

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Solution

The fourth proportional to 15,150.94, 20,896.47 and 9,847.48 is: 13,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150.94 : 20,896.47 = 9,847.48 : x
  2. Step 2: Convert to fraction form
    15,150.94/20,896.47 = 9,847.48/x
  3. Step 3: Cross multiply
    15,150.94x = 20,896.47 × 9,847.48
  4. Step 4: Simplify right side
    15,150.94x = 205,777,570.40
  5. Step 5: Solve for x
    x = 205,777,570.40/15,150.94
  6. Step 6: Final answer
    x = 13,581.84

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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.