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Finding the Fourth Proportional to 12,973, 17,902.76 and 7,384

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Solution

The fourth proportional to 12,973, 17,902.76 and 7,384 is: 10,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973 : 17,902.76 = 7,384 : x
  2. Step 2: Convert to fraction form
    12,973/17,902.76 = 7,384/x
  3. Step 3: Cross multiply
    12,973x = 17,902.76 × 7,384
  4. Step 4: Simplify right side
    12,973x = 132,193,979.84
  5. Step 5: Solve for x
    x = 132,193,979.84/12,973
  6. Step 6: Final answer
    x = 10,189.93

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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.