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Finding the Fourth Proportional to 13,689, 18,891.48 and 7,720.53

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Solution

The fourth proportional to 13,689, 18,891.48 and 7,720.53 is: 10,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689 : 18,891.48 = 7,720.53 : x
  2. Step 2: Convert to fraction form
    13,689/18,891.48 = 7,720.53/x
  3. Step 3: Cross multiply
    13,689x = 18,891.48 × 7,720.53
  4. Step 4: Simplify right side
    13,689x = 145,852,259.03
  5. Step 5: Solve for x
    x = 145,852,259.03/13,689
  6. Step 6: Final answer
    x = 10,654.71

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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.