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Finding the Fourth Proportional to 13,992.78, 20,982.98 and 7,417.44

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Solution

The fourth proportional to 13,992.78, 20,982.98 and 7,417.44 is: 11,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.78 : 20,982.98 = 7,417.44 : x
  2. Step 2: Convert to fraction form
    13,992.78/20,982.98 = 7,417.44/x
  3. Step 3: Cross multiply
    13,992.78x = 20,982.98 × 7,417.44
  4. Step 4: Simplify right side
    13,992.78x = 155,640,013.71
  5. Step 5: Solve for x
    x = 155,640,013.71/13,992.78
  6. Step 6: Final answer
    x = 11,122.88

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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.