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Finding the Fourth Proportional to 12,933, 17,847.54 and 7,045

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Solution

The fourth proportional to 12,933, 17,847.54 and 7,045 is: 9,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933 : 17,847.54 = 7,045 : x
  2. Step 2: Convert to fraction form
    12,933/17,847.54 = 7,045/x
  3. Step 3: Cross multiply
    12,933x = 17,847.54 × 7,045
  4. Step 4: Simplify right side
    12,933x = 125,735,919.30
  5. Step 5: Solve for x
    x = 125,735,919.30/12,933
  6. Step 6: Final answer
    x = 9,722.10

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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.