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Finding the Fourth Proportional to 11,393.02, 15,717.96 and 8,416

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Solution

The fourth proportional to 11,393.02, 15,717.96 and 8,416 is: 11,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.02 : 15,717.96 = 8,416 : x
  2. Step 2: Convert to fraction form
    11,393.02/15,717.96 = 8,416/x
  3. Step 3: Cross multiply
    11,393.02x = 15,717.96 × 8,416
  4. Step 4: Simplify right side
    11,393.02x = 132,282,351.36
  5. Step 5: Solve for x
    x = 132,282,351.36/11,393.02
  6. Step 6: Final answer
    x = 11,610.82

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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.