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Finding the Fourth Proportional to 13,642.70, 20,463.10 and 5,321.16

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Solution

The fourth proportional to 13,642.70, 20,463.10 and 5,321.16 is: 7,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.70 : 20,463.10 = 5,321.16 : x
  2. Step 2: Convert to fraction form
    13,642.70/20,463.10 = 5,321.16/x
  3. Step 3: Cross multiply
    13,642.70x = 20,463.10 × 5,321.16
  4. Step 4: Simplify right side
    13,642.70x = 108,887,415.89
  5. Step 5: Solve for x
    x = 108,887,415.89/13,642.70
  6. Step 6: Final answer
    x = 7,981.37

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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.