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Finding the Fourth Proportional to 20,336.70, 30,490.65 and 7,851.90

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Solution

The fourth proportional to 20,336.70, 30,490.65 and 7,851.90 is: 11,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,336.70 : 30,490.65 = 7,851.90 : x
  2. Step 2: Convert to fraction form
    20,336.70/30,490.65 = 7,851.90/x
  3. Step 3: Cross multiply
    20,336.70x = 30,490.65 × 7,851.90
  4. Step 4: Simplify right side
    20,336.70x = 239,409,534.74
  5. Step 5: Solve for x
    x = 239,409,534.74/20,336.70
  6. Step 6: Final answer
    x = 11,772.29

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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.