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Finding the Fourth Proportional to 13,508.60, 18,642.13 and 7,843.82

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Solution

The fourth proportional to 13,508.60, 18,642.13 and 7,843.82 is: 10,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.60 : 18,642.13 = 7,843.82 : x
  2. Step 2: Convert to fraction form
    13,508.60/18,642.13 = 7,843.82/x
  3. Step 3: Cross multiply
    13,508.60x = 18,642.13 × 7,843.82
  4. Step 4: Simplify right side
    13,508.60x = 146,225,399.32
  5. Step 5: Solve for x
    x = 146,225,399.32/13,508.60
  6. Step 6: Final answer
    x = 10,824.62

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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.