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Finding the Fourth Proportional to 20,929.78, 31,393.86 and 7,078.78

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Solution

The fourth proportional to 20,929.78, 31,393.86 and 7,078.78 is: 10,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929.78 : 31,393.86 = 7,078.78 : x
  2. Step 2: Convert to fraction form
    20,929.78/31,393.86 = 7,078.78/x
  3. Step 3: Cross multiply
    20,929.78x = 31,393.86 × 7,078.78
  4. Step 4: Simplify right side
    20,929.78x = 222,230,228.29
  5. Step 5: Solve for x
    x = 222,230,228.29/20,929.78
  6. Step 6: Final answer
    x = 10,617.90

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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.