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Finding the Fourth Proportional to 19,716.10, 27,208.18 and 12,642.50

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Solution

The fourth proportional to 19,716.10, 27,208.18 and 12,642.50 is: 17,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.10 : 27,208.18 = 12,642.50 : x
  2. Step 2: Convert to fraction form
    19,716.10/27,208.18 = 12,642.50/x
  3. Step 3: Cross multiply
    19,716.10x = 27,208.18 × 12,642.50
  4. Step 4: Simplify right side
    19,716.10x = 343,979,415.65
  5. Step 5: Solve for x
    x = 343,979,415.65/19,716.10
  6. Step 6: Final answer
    x = 17,446.63

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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.