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Finding the Fourth Proportional to 20,859, 31,299.53 and 11,378.16

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Solution

The fourth proportional to 20,859, 31,299.53 and 11,378.16 is: 17,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859 : 31,299.53 = 11,378.16 : x
  2. Step 2: Convert to fraction form
    20,859/31,299.53 = 11,378.16/x
  3. Step 3: Cross multiply
    20,859x = 31,299.53 × 11,378.16
  4. Step 4: Simplify right side
    20,859x = 356,131,003.37
  5. Step 5: Solve for x
    x = 356,131,003.37/20,859
  6. Step 6: Final answer
    x = 17,073.25

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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.