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Finding the Fourth Proportional to 19,770, 27,282.43 and 10,817.58

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Solution

The fourth proportional to 19,770, 27,282.43 and 10,817.58 is: 14,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770 : 27,282.43 = 10,817.58 : x
  2. Step 2: Convert to fraction form
    19,770/27,282.43 = 10,817.58/x
  3. Step 3: Cross multiply
    19,770x = 27,282.43 × 10,817.58
  4. Step 4: Simplify right side
    19,770x = 295,129,869.12
  5. Step 5: Solve for x
    x = 295,129,869.12/19,770
  6. Step 6: Final answer
    x = 14,928.17

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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.