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Finding the Fourth Proportional to 13,309.15, 18,367.55 and 7,720.15

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Solution

The fourth proportional to 13,309.15, 18,367.55 and 7,720.15 is: 10,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.15 : 18,367.55 = 7,720.15 : x
  2. Step 2: Convert to fraction form
    13,309.15/18,367.55 = 7,720.15/x
  3. Step 3: Cross multiply
    13,309.15x = 18,367.55 × 7,720.15
  4. Step 4: Simplify right side
    13,309.15x = 141,800,241.13
  5. Step 5: Solve for x
    x = 141,800,241.13/13,309.15
  6. Step 6: Final answer
    x = 10,654.34

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1.5x scale

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.