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Finding the Fourth Proportional to 20,859, 31,288.17 and 5,064.16

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Solution

The fourth proportional to 20,859, 31,288.17 and 5,064.16 is: 7,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859 : 31,288.17 = 5,064.16 : x
  2. Step 2: Convert to fraction form
    20,859/31,288.17 = 5,064.16/x
  3. Step 3: Cross multiply
    20,859x = 31,288.17 × 5,064.16
  4. Step 4: Simplify right side
    20,859x = 158,448,298.99
  5. Step 5: Solve for x
    x = 158,448,298.99/20,859
  6. Step 6: Final answer
    x = 7,596.16

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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.