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Finding the Fourth Proportional to 13,503.70, 20,219.10 and 13,503.70

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Solution

The fourth proportional to 13,503.70, 20,219.10 and 13,503.70 is: 20,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.70 : 20,219.10 = 13,503.70 : x
  2. Step 2: Convert to fraction form
    13,503.70/20,219.10 = 13,503.70/x
  3. Step 3: Cross multiply
    13,503.70x = 20,219.10 × 13,503.70
  4. Step 4: Simplify right side
    13,503.70x = 273,032,660.67
  5. Step 5: Solve for x
    x = 273,032,660.67/13,503.70
  6. Step 6: Final answer
    x = 20,219.10

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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.