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Finding the Fourth Proportional to 20,794.77, 31,172.72 and 7,643.61

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Solution

The fourth proportional to 20,794.77, 31,172.72 and 7,643.61 is: 11,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.77 : 31,172.72 = 7,643.61 : x
  2. Step 2: Convert to fraction form
    20,794.77/31,172.72 = 7,643.61/x
  3. Step 3: Cross multiply
    20,794.77x = 31,172.72 × 7,643.61
  4. Step 4: Simplify right side
    20,794.77x = 238,272,076.10
  5. Step 5: Solve for x
    x = 238,272,076.10/20,794.77
  6. Step 6: Final answer
    x = 11,458.27

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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.