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Finding the Fourth Proportional to 12,297.76, 16,977.90 and 8,118.16

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Solution

The fourth proportional to 12,297.76, 16,977.90 and 8,118.16 is: 11,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.76 : 16,977.90 = 8,118.16 : x
  2. Step 2: Convert to fraction form
    12,297.76/16,977.90 = 8,118.16/x
  3. Step 3: Cross multiply
    12,297.76x = 16,977.90 × 8,118.16
  4. Step 4: Simplify right side
    12,297.76x = 137,829,296.66
  5. Step 5: Solve for x
    x = 137,829,296.66/12,297.76
  6. Step 6: Final answer
    x = 11,207.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.