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Finding the Fourth Proportional to 19,406.52, 26,770.86 and 12,771

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Solution

The fourth proportional to 19,406.52, 26,770.86 and 12,771 is: 17,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406.52 : 26,770.86 = 12,771 : x
  2. Step 2: Convert to fraction form
    19,406.52/26,770.86 = 12,771/x
  3. Step 3: Cross multiply
    19,406.52x = 26,770.86 × 12,771
  4. Step 4: Simplify right side
    19,406.52x = 341,890,653.06
  5. Step 5: Solve for x
    x = 341,890,653.06/19,406.52
  6. Step 6: Final answer
    x = 17,617.31

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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.