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Finding the Fourth Proportional to 20,810.70, 31,220.10 and 6,020.10

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Solution

The fourth proportional to 20,810.70, 31,220.10 and 6,020.10 is: 9,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.70 : 31,220.10 = 6,020.10 : x
  2. Step 2: Convert to fraction form
    20,810.70/31,220.10 = 6,020.10/x
  3. Step 3: Cross multiply
    20,810.70x = 31,220.10 × 6,020.10
  4. Step 4: Simplify right side
    20,810.70x = 187,948,124.01
  5. Step 5: Solve for x
    x = 187,948,124.01/20,810.70
  6. Step 6: Final answer
    x = 9,031.32

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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.