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Finding the Fourth Proportional to 5,802.72, 8,706 and 3,862.56

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Solution

The fourth proportional to 5,802.72, 8,706 and 3,862.56 is: 5,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.72 : 8,706 = 3,862.56 : x
  2. Step 2: Convert to fraction form
    5,802.72/8,706 = 3,862.56/x
  3. Step 3: Cross multiply
    5,802.72x = 8,706 × 3,862.56
  4. Step 4: Simplify right side
    5,802.72x = 33,627,447.36
  5. Step 5: Solve for x
    x = 33,627,447.36/5,802.72
  6. Step 6: Final answer
    x = 5,795.12

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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.