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Finding the Fourth Proportional to 13,593.81, 20,401.65 and 7,021.88

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Solution

The fourth proportional to 13,593.81, 20,401.65 and 7,021.88 is: 10,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593.81 : 20,401.65 = 7,021.88 : x
  2. Step 2: Convert to fraction form
    13,593.81/20,401.65 = 7,021.88/x
  3. Step 3: Cross multiply
    13,593.81x = 20,401.65 × 7,021.88
  4. Step 4: Simplify right side
    13,593.81x = 143,257,938.10
  5. Step 5: Solve for x
    x = 143,257,938.10/13,593.81
  6. Step 6: Final answer
    x = 10,538.47

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1.5x scale

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.