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Finding the Fourth Proportional to 13,874.58, 20,802.15 and 11,697.30

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Solution

The fourth proportional to 13,874.58, 20,802.15 and 11,697.30 is: 17,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.58 : 20,802.15 = 11,697.30 : x
  2. Step 2: Convert to fraction form
    13,874.58/20,802.15 = 11,697.30/x
  3. Step 3: Cross multiply
    13,874.58x = 20,802.15 × 11,697.30
  4. Step 4: Simplify right side
    13,874.58x = 243,328,989.20
  5. Step 5: Solve for x
    x = 243,328,989.20/13,874.58
  6. Step 6: Final answer
    x = 17,537.76

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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.