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Finding the Fourth Proportional to 15,083.52, 20,820.96 and 8,796

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Solution

The fourth proportional to 15,083.52, 20,820.96 and 8,796 is: 12,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.52 : 20,820.96 = 8,796 : x
  2. Step 2: Convert to fraction form
    15,083.52/20,820.96 = 8,796/x
  3. Step 3: Cross multiply
    15,083.52x = 20,820.96 × 8,796
  4. Step 4: Simplify right side
    15,083.52x = 183,141,164.16
  5. Step 5: Solve for x
    x = 183,141,164.16/15,083.52
  6. Step 6: Final answer
    x = 12,141.81

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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.