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Finding the Fourth Proportional to 12,806.96, 17,672.92 and 8,261.68

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Solution

The fourth proportional to 12,806.96, 17,672.92 and 8,261.68 is: 11,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.96 : 17,672.92 = 8,261.68 : x
  2. Step 2: Convert to fraction form
    12,806.96/17,672.92 = 8,261.68/x
  3. Step 3: Cross multiply
    12,806.96x = 17,672.92 × 8,261.68
  4. Step 4: Simplify right side
    12,806.96x = 146,008,009.71
  5. Step 5: Solve for x
    x = 146,008,009.71/12,806.96
  6. Step 6: Final answer
    x = 11,400.68

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1.5x scale

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.