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Finding the Fourth Proportional to 18,656.40, 27,946.76 and 8,647

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Solution

The fourth proportional to 18,656.40, 27,946.76 and 8,647 is: 12,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.40 : 27,946.76 = 8,647 : x
  2. Step 2: Convert to fraction form
    18,656.40/27,946.76 = 8,647/x
  3. Step 3: Cross multiply
    18,656.40x = 27,946.76 × 8,647
  4. Step 4: Simplify right side
    18,656.40x = 241,655,633.72
  5. Step 5: Solve for x
    x = 241,655,633.72/18,656.40
  6. Step 6: Final answer
    x = 12,952.96

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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.