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Finding the Fourth Proportional to 12,358.56, 17,047.14 and 8,109.90

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Solution

The fourth proportional to 12,358.56, 17,047.14 and 8,109.90 is: 11,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.56 : 17,047.14 = 8,109.90 : x
  2. Step 2: Convert to fraction form
    12,358.56/17,047.14 = 8,109.90/x
  3. Step 3: Cross multiply
    12,358.56x = 17,047.14 × 8,109.90
  4. Step 4: Simplify right side
    12,358.56x = 138,250,600.69
  5. Step 5: Solve for x
    x = 138,250,600.69/12,358.56
  6. Step 6: Final answer
    x = 11,186.63

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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.