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Finding the Fourth Proportional to 19,700.52, 27,187.52 and 11,317

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Solution

The fourth proportional to 19,700.52, 27,187.52 and 11,317 is: 15,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.52 : 27,187.52 = 11,317 : x
  2. Step 2: Convert to fraction form
    19,700.52/27,187.52 = 11,317/x
  3. Step 3: Cross multiply
    19,700.52x = 27,187.52 × 11,317
  4. Step 4: Simplify right side
    19,700.52x = 307,681,163.84
  5. Step 5: Solve for x
    x = 307,681,163.84/19,700.52
  6. Step 6: Final answer
    x = 15,617.92

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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.