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Finding the Fourth Proportional to 13,047.40, 18,007.14 and 8,857

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Solution

The fourth proportional to 13,047.40, 18,007.14 and 8,857 is: 12,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.40 : 18,007.14 = 8,857 : x
  2. Step 2: Convert to fraction form
    13,047.40/18,007.14 = 8,857/x
  3. Step 3: Cross multiply
    13,047.40x = 18,007.14 × 8,857
  4. Step 4: Simplify right side
    13,047.40x = 159,489,238.98
  5. Step 5: Solve for x
    x = 159,489,238.98/13,047.40
  6. Step 6: Final answer
    x = 12,223.83

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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.