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Finding the Fourth Proportional to 8,851.76, 13,278.24 and 3,305

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Solution

The fourth proportional to 8,851.76, 13,278.24 and 3,305 is: 4,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,851.76 : 13,278.24 = 3,305 : x
  2. Step 2: Convert to fraction form
    8,851.76/13,278.24 = 3,305/x
  3. Step 3: Cross multiply
    8,851.76x = 13,278.24 × 3,305
  4. Step 4: Simplify right side
    8,851.76x = 43,884,583.20
  5. Step 5: Solve for x
    x = 43,884,583.20/8,851.76
  6. Step 6: Final answer
    x = 4,957.72

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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.