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Finding the Fourth Proportional to 8,617.86, 12,840.12 and 8,051.97

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Solution

The fourth proportional to 8,617.86, 12,840.12 and 8,051.97 is: 11,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.86 : 12,840.12 = 8,051.97 : x
  2. Step 2: Convert to fraction form
    8,617.86/12,840.12 = 8,051.97/x
  3. Step 3: Cross multiply
    8,617.86x = 12,840.12 × 8,051.97
  4. Step 4: Simplify right side
    8,617.86x = 103,388,261.04
  5. Step 5: Solve for x
    x = 103,388,261.04/8,617.86
  6. Step 6: Final answer
    x = 11,996.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.