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Finding the Fourth Proportional to 12,867.09, 17,760.09 and 7,563.63

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Solution

The fourth proportional to 12,867.09, 17,760.09 and 7,563.63 is: 10,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.09 : 17,760.09 = 7,563.63 : x
  2. Step 2: Convert to fraction form
    12,867.09/17,760.09 = 7,563.63/x
  3. Step 3: Cross multiply
    12,867.09x = 17,760.09 × 7,563.63
  4. Step 4: Simplify right side
    12,867.09x = 134,330,749.53
  5. Step 5: Solve for x
    x = 134,330,749.53/12,867.09
  6. Step 6: Final answer
    x = 10,439.87

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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.