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Finding the Fourth Proportional to 7,833.76, 10,810.56 and 4,849

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Solution

The fourth proportional to 7,833.76, 10,810.56 and 4,849 is: 6,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.76 : 10,810.56 = 4,849 : x
  2. Step 2: Convert to fraction form
    7,833.76/10,810.56 = 4,849/x
  3. Step 3: Cross multiply
    7,833.76x = 10,810.56 × 4,849
  4. Step 4: Simplify right side
    7,833.76x = 52,420,405.44
  5. Step 5: Solve for x
    x = 52,420,405.44/7,833.76
  6. Step 6: Final answer
    x = 6,691.60

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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.