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Finding the Fourth Proportional to 13,993.64, 19,310.63 and 8,021.17

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Solution

The fourth proportional to 13,993.64, 19,310.63 and 8,021.17 is: 11,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.64 : 19,310.63 = 8,021.17 : x
  2. Step 2: Convert to fraction form
    13,993.64/19,310.63 = 8,021.17/x
  3. Step 3: Cross multiply
    13,993.64x = 19,310.63 × 8,021.17
  4. Step 4: Simplify right side
    13,993.64x = 154,893,757.65
  5. Step 5: Solve for x
    x = 154,893,757.65/13,993.64
  6. Step 6: Final answer
    x = 11,068.87

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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.