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Finding the Fourth Proportional to 20,987.29, 31,477.29 and 7,839.78

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Solution

The fourth proportional to 20,987.29, 31,477.29 and 7,839.78 is: 11,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,987.29 : 31,477.29 = 7,839.78 : x
  2. Step 2: Convert to fraction form
    20,987.29/31,477.29 = 7,839.78/x
  3. Step 3: Cross multiply
    20,987.29x = 31,477.29 × 7,839.78
  4. Step 4: Simplify right side
    20,987.29x = 246,775,028.60
  5. Step 5: Solve for x
    x = 246,775,028.60/20,987.29
  6. Step 6: Final answer
    x = 11,758.31

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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.