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Finding the Fourth Proportional to 5,283.19, 7,917.79 and 2,812.69

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Solution

The fourth proportional to 5,283.19, 7,917.79 and 2,812.69 is: 4,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.19 : 7,917.79 = 2,812.69 : x
  2. Step 2: Convert to fraction form
    5,283.19/7,917.79 = 2,812.69/x
  3. Step 3: Cross multiply
    5,283.19x = 7,917.79 × 2,812.69
  4. Step 4: Simplify right side
    5,283.19x = 22,270,288.76
  5. Step 5: Solve for x
    x = 22,270,288.76/5,283.19
  6. Step 6: Final answer
    x = 4,215.31

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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.