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Finding the Fourth Proportional to 13,813.70, 20,701.23 and 7,474.89

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Solution

The fourth proportional to 13,813.70, 20,701.23 and 7,474.89 is: 11,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.70 : 20,701.23 = 7,474.89 : x
  2. Step 2: Convert to fraction form
    13,813.70/20,701.23 = 7,474.89/x
  3. Step 3: Cross multiply
    13,813.70x = 20,701.23 × 7,474.89
  4. Step 4: Simplify right side
    13,813.70x = 154,739,417.11
  5. Step 5: Solve for x
    x = 154,739,417.11/13,813.70
  6. Step 6: Final answer
    x = 11,201.88

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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.