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Finding the Fourth Proportional to 11,343.08, 15,649.08 and 8,365.97

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Solution

The fourth proportional to 11,343.08, 15,649.08 and 8,365.97 is: 11,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.08 : 15,649.08 = 8,365.97 : x
  2. Step 2: Convert to fraction form
    11,343.08/15,649.08 = 8,365.97/x
  3. Step 3: Cross multiply
    11,343.08x = 15,649.08 × 8,365.97
  4. Step 4: Simplify right side
    11,343.08x = 130,919,733.81
  5. Step 5: Solve for x
    x = 130,919,733.81/11,343.08
  6. Step 6: Final answer
    x = 11,541.82

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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.