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Finding the Fourth Proportional to 21,195.70, 31,793.55 and 6,406.90

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Solution

The fourth proportional to 21,195.70, 31,793.55 and 6,406.90 is: 9,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.70 : 31,793.55 = 6,406.90 : x
  2. Step 2: Convert to fraction form
    21,195.70/31,793.55 = 6,406.90/x
  3. Step 3: Cross multiply
    21,195.70x = 31,793.55 × 6,406.90
  4. Step 4: Simplify right side
    21,195.70x = 203,698,095.50
  5. Step 5: Solve for x
    x = 203,698,095.50/21,195.70
  6. Step 6: Final answer
    x = 9,610.35

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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.