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Finding the Fourth Proportional to 19,806, 27,346.86 and 13,507.44

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Solution

The fourth proportional to 19,806, 27,346.86 and 13,507.44 is: 18,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806 : 27,346.86 = 13,507.44 : x
  2. Step 2: Convert to fraction form
    19,806/27,346.86 = 13,507.44/x
  3. Step 3: Cross multiply
    19,806x = 27,346.86 × 13,507.44
  4. Step 4: Simplify right side
    19,806x = 369,386,070.64
  5. Step 5: Solve for x
    x = 369,386,070.64/19,806
  6. Step 6: Final answer
    x = 18,650.21

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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.