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Finding the Fourth Proportional to 19,742, 27,243.96 and 10,910

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Solution

The fourth proportional to 19,742, 27,243.96 and 10,910 is: 15,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742 : 27,243.96 = 10,910 : x
  2. Step 2: Convert to fraction form
    19,742/27,243.96 = 10,910/x
  3. Step 3: Cross multiply
    19,742x = 27,243.96 × 10,910
  4. Step 4: Simplify right side
    19,742x = 297,231,603.60
  5. Step 5: Solve for x
    x = 297,231,603.60/19,742
  6. Step 6: Final answer
    x = 15,055.80

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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.