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Finding the Fourth Proportional to 13,871.16, 20,802.42 and 4,635

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Solution

The fourth proportional to 13,871.16, 20,802.42 and 4,635 is: 6,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.16 : 20,802.42 = 4,635 : x
  2. Step 2: Convert to fraction form
    13,871.16/20,802.42 = 4,635/x
  3. Step 3: Cross multiply
    13,871.16x = 20,802.42 × 4,635
  4. Step 4: Simplify right side
    13,871.16x = 96,419,216.70
  5. Step 5: Solve for x
    x = 96,419,216.70/13,871.16
  6. Step 6: Final answer
    x = 6,951.06

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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.