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Finding the Fourth Proportional to 12,806, 17,670.98 and 7,140.21

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Solution

The fourth proportional to 12,806, 17,670.98 and 7,140.21 is: 9,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806 : 17,670.98 = 7,140.21 : x
  2. Step 2: Convert to fraction form
    12,806/17,670.98 = 7,140.21/x
  3. Step 3: Cross multiply
    12,806x = 17,670.98 × 7,140.21
  4. Step 4: Simplify right side
    12,806x = 126,174,508.11
  5. Step 5: Solve for x
    x = 126,174,508.11/12,806
  6. Step 6: Final answer
    x = 9,852.76

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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.