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Finding the Fourth Proportional to 20,802.30, 28,705.23 and 11,851.80

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Solution

The fourth proportional to 20,802.30, 28,705.23 and 11,851.80 is: 16,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.30 : 28,705.23 = 11,851.80 : x
  2. Step 2: Convert to fraction form
    20,802.30/28,705.23 = 11,851.80/x
  3. Step 3: Cross multiply
    20,802.30x = 28,705.23 × 11,851.80
  4. Step 4: Simplify right side
    20,802.30x = 340,208,644.91
  5. Step 5: Solve for x
    x = 340,208,644.91/20,802.30
  6. Step 6: Final answer
    x = 16,354.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.