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Finding the Fourth Proportional to 19,681.90, 27,171.06 and 13,342

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Solution

The fourth proportional to 19,681.90, 27,171.06 and 13,342 is: 18,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.90 : 27,171.06 = 13,342 : x
  2. Step 2: Convert to fraction form
    19,681.90/27,171.06 = 13,342/x
  3. Step 3: Cross multiply
    19,681.90x = 27,171.06 × 13,342
  4. Step 4: Simplify right side
    19,681.90x = 362,516,282.52
  5. Step 5: Solve for x
    x = 362,516,282.52/19,681.90
  6. Step 6: Final answer
    x = 18,418.76

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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.