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Finding the Fourth Proportional to 15,174.87, 20,940.30 and 9,509.46

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Solution

The fourth proportional to 15,174.87, 20,940.30 and 9,509.46 is: 13,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.87 : 20,940.30 = 9,509.46 : x
  2. Step 2: Convert to fraction form
    15,174.87/20,940.30 = 9,509.46/x
  3. Step 3: Cross multiply
    15,174.87x = 20,940.30 × 9,509.46
  4. Step 4: Simplify right side
    15,174.87x = 199,130,945.24
  5. Step 5: Solve for x
    x = 199,130,945.24/15,174.87
  6. Step 6: Final answer
    x = 13,122.42

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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.