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Finding the Fourth Proportional to 13,227.78, 18,254.51 and 7,259.34

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Solution

The fourth proportional to 13,227.78, 18,254.51 and 7,259.34 is: 10,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.78 : 18,254.51 = 7,259.34 : x
  2. Step 2: Convert to fraction form
    13,227.78/18,254.51 = 7,259.34/x
  3. Step 3: Cross multiply
    13,227.78x = 18,254.51 × 7,259.34
  4. Step 4: Simplify right side
    13,227.78x = 132,515,694.62
  5. Step 5: Solve for x
    x = 132,515,694.62/13,227.78
  6. Step 6: Final answer
    x = 10,017.98

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Half scale
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Double scale
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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.