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Finding the Fourth Proportional to 13,987, 20,988.74 and 6,195.88

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Solution

The fourth proportional to 13,987, 20,988.74 and 6,195.88 is: 9,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987 : 20,988.74 = 6,195.88 : x
  2. Step 2: Convert to fraction form
    13,987/20,988.74 = 6,195.88/x
  3. Step 3: Cross multiply
    13,987x = 20,988.74 × 6,195.88
  4. Step 4: Simplify right side
    13,987x = 130,043,714.39
  5. Step 5: Solve for x
    x = 130,043,714.39/13,987
  6. Step 6: Final answer
    x = 9,297.47

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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.