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Finding the Fourth Proportional to 7,802.96, 11,698.96 and 2,871.96

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Solution

The fourth proportional to 7,802.96, 11,698.96 and 2,871.96 is: 4,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.96 : 11,698.96 = 2,871.96 : x
  2. Step 2: Convert to fraction form
    7,802.96/11,698.96 = 2,871.96/x
  3. Step 3: Cross multiply
    7,802.96x = 11,698.96 × 2,871.96
  4. Step 4: Simplify right side
    7,802.96x = 33,598,945.16
  5. Step 5: Solve for x
    x = 33,598,945.16/7,802.96
  6. Step 6: Final answer
    x = 4,305.92

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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.