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Finding the Fourth Proportional to 20,802.70, 31,181.01 and 12,493.90

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Solution

The fourth proportional to 20,802.70, 31,181.01 and 12,493.90 is: 18,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.70 : 31,181.01 = 12,493.90 : x
  2. Step 2: Convert to fraction form
    20,802.70/31,181.01 = 12,493.90/x
  3. Step 3: Cross multiply
    20,802.70x = 31,181.01 × 12,493.90
  4. Step 4: Simplify right side
    20,802.70x = 389,572,420.84
  5. Step 5: Solve for x
    x = 389,572,420.84/20,802.70
  6. Step 6: Final answer
    x = 18,727.01

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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.