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Finding the Fourth Proportional to 14,456.89, 19,948.31 and 8,166.97

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Solution

The fourth proportional to 14,456.89, 19,948.31 and 8,166.97 is: 11,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.89 : 19,948.31 = 8,166.97 : x
  2. Step 2: Convert to fraction form
    14,456.89/19,948.31 = 8,166.97/x
  3. Step 3: Cross multiply
    14,456.89x = 19,948.31 × 8,166.97
  4. Step 4: Simplify right side
    14,456.89x = 162,917,208.49
  5. Step 5: Solve for x
    x = 162,917,208.49/14,456.89
  6. Step 6: Final answer
    x = 11,269.17

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1.5x scale

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.