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Finding the Fourth Proportional to 13,935.16, 20,891.13 and 12,716.47

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Solution

The fourth proportional to 13,935.16, 20,891.13 and 12,716.47 is: 19,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.16 : 20,891.13 = 12,716.47 : x
  2. Step 2: Convert to fraction form
    13,935.16/20,891.13 = 12,716.47/x
  3. Step 3: Cross multiply
    13,935.16x = 20,891.13 × 12,716.47
  4. Step 4: Simplify right side
    13,935.16x = 265,661,427.91
  5. Step 5: Solve for x
    x = 265,661,427.91/13,935.16
  6. Step 6: Final answer
    x = 19,064.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.