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Finding the Fourth Proportional to 19,908.85, 27,474.23 and 10,957

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Solution

The fourth proportional to 19,908.85, 27,474.23 and 10,957 is: 15,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,908.85 : 27,474.23 = 10,957 : x
  2. Step 2: Convert to fraction form
    19,908.85/27,474.23 = 10,957/x
  3. Step 3: Cross multiply
    19,908.85x = 27,474.23 × 10,957
  4. Step 4: Simplify right side
    19,908.85x = 301,035,138.11
  5. Step 5: Solve for x
    x = 301,035,138.11/19,908.85
  6. Step 6: Final answer
    x = 15,120.67

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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.