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Finding the Fourth Proportional to 8,760.41, 13,128.33 and 7,784.51

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Solution

The fourth proportional to 8,760.41, 13,128.33 and 7,784.51 is: 11,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760.41 : 13,128.33 = 7,784.51 : x
  2. Step 2: Convert to fraction form
    8,760.41/13,128.33 = 7,784.51/x
  3. Step 3: Cross multiply
    8,760.41x = 13,128.33 × 7,784.51
  4. Step 4: Simplify right side
    8,760.41x = 102,197,616.17
  5. Step 5: Solve for x
    x = 102,197,616.17/8,760.41
  6. Step 6: Final answer
    x = 11,665.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.