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Finding the Fourth Proportional to 13,738.51, 20,607.72 and 7,177.51

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Solution

The fourth proportional to 13,738.51, 20,607.72 and 7,177.51 is: 10,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.51 : 20,607.72 = 7,177.51 : x
  2. Step 2: Convert to fraction form
    13,738.51/20,607.72 = 7,177.51/x
  3. Step 3: Cross multiply
    13,738.51x = 20,607.72 × 7,177.51
  4. Step 4: Simplify right side
    13,738.51x = 147,912,116.38
  5. Step 5: Solve for x
    x = 147,912,116.38/13,738.51
  6. Step 6: Final answer
    x = 10,766.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.