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Finding the Fourth Proportional to 13,573.98, 20,363.81 and 4,213.76

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Solution

The fourth proportional to 13,573.98, 20,363.81 and 4,213.76 is: 6,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.98 : 20,363.81 = 4,213.76 : x
  2. Step 2: Convert to fraction form
    13,573.98/20,363.81 = 4,213.76/x
  3. Step 3: Cross multiply
    13,573.98x = 20,363.81 × 4,213.76
  4. Step 4: Simplify right side
    13,573.98x = 85,808,085.14
  5. Step 5: Solve for x
    x = 85,808,085.14/13,573.98
  6. Step 6: Final answer
    x = 6,321.51

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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.