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Finding the Fourth Proportional to 20,802.70, 31,208.10 and 6,012.10

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Solution

The fourth proportional to 20,802.70, 31,208.10 and 6,012.10 is: 9,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.70 : 31,208.10 = 6,012.10 : x
  2. Step 2: Convert to fraction form
    20,802.70/31,208.10 = 6,012.10/x
  3. Step 3: Cross multiply
    20,802.70x = 31,208.10 × 6,012.10
  4. Step 4: Simplify right side
    20,802.70x = 187,626,218.01
  5. Step 5: Solve for x
    x = 187,626,218.01/20,802.70
  6. Step 6: Final answer
    x = 9,019.32

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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.