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Finding the Fourth Proportional to 13,982.70, 20,998.35 and 7,421.70

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Solution

The fourth proportional to 13,982.70, 20,998.35 and 7,421.70 is: 11,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.70 : 20,998.35 = 7,421.70 : x
  2. Step 2: Convert to fraction form
    13,982.70/20,998.35 = 7,421.70/x
  3. Step 3: Cross multiply
    13,982.70x = 20,998.35 × 7,421.70
  4. Step 4: Simplify right side
    13,982.70x = 155,843,454.20
  5. Step 5: Solve for x
    x = 155,843,454.20/13,982.70
  6. Step 6: Final answer
    x = 11,145.45

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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.