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Finding the Fourth Proportional to 20,973, 31,461.30 and 6,933

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Solution

The fourth proportional to 20,973, 31,461.30 and 6,933 is: 10,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973 : 31,461.30 = 6,933 : x
  2. Step 2: Convert to fraction form
    20,973/31,461.30 = 6,933/x
  3. Step 3: Cross multiply
    20,973x = 31,461.30 × 6,933
  4. Step 4: Simplify right side
    20,973x = 218,121,192.90
  5. Step 5: Solve for x
    x = 218,121,192.90/20,973
  6. Step 6: Final answer
    x = 10,400.10

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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.