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Finding the Fourth Proportional to 13,460.50, 20,202.99 and 6,891.22

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Solution

The fourth proportional to 13,460.50, 20,202.99 and 6,891.22 is: 10,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.50 : 20,202.99 = 6,891.22 : x
  2. Step 2: Convert to fraction form
    13,460.50/20,202.99 = 6,891.22/x
  3. Step 3: Cross multiply
    13,460.50x = 20,202.99 × 6,891.22
  4. Step 4: Simplify right side
    13,460.50x = 139,223,248.75
  5. Step 5: Solve for x
    x = 139,223,248.75/13,460.50
  6. Step 6: Final answer
    x = 10,343.10

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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.