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Finding the Fourth Proportional to 13,700.47, 18,905.56 and 8,394.56

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Solution

The fourth proportional to 13,700.47, 18,905.56 and 8,394.56 is: 11,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.47 : 18,905.56 = 8,394.56 : x
  2. Step 2: Convert to fraction form
    13,700.47/18,905.56 = 8,394.56/x
  3. Step 3: Cross multiply
    13,700.47x = 18,905.56 × 8,394.56
  4. Step 4: Simplify right side
    13,700.47x = 158,703,857.75
  5. Step 5: Solve for x
    x = 158,703,857.75/13,700.47
  6. Step 6: Final answer
    x = 11,583.83

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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.