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Finding the Fourth Proportional to 12,806.24, 17,671.93 and 7,216.88

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Solution

The fourth proportional to 12,806.24, 17,671.93 and 7,216.88 is: 9,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.24 : 17,671.93 = 7,216.88 : x
  2. Step 2: Convert to fraction form
    12,806.24/17,671.93 = 7,216.88/x
  3. Step 3: Cross multiply
    12,806.24x = 17,671.93 × 7,216.88
  4. Step 4: Simplify right side
    12,806.24x = 127,536,091.78
  5. Step 5: Solve for x
    x = 127,536,091.78/12,806.24
  6. Step 6: Final answer
    x = 9,958.91

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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.