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Finding the Fourth Proportional to 19,691.76, 27,174.15 and 10,739.46

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Solution

The fourth proportional to 19,691.76, 27,174.15 and 10,739.46 is: 14,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.76 : 27,174.15 = 10,739.46 : x
  2. Step 2: Convert to fraction form
    19,691.76/27,174.15 = 10,739.46/x
  3. Step 3: Cross multiply
    19,691.76x = 27,174.15 × 10,739.46
  4. Step 4: Simplify right side
    19,691.76x = 291,835,696.96
  5. Step 5: Solve for x
    x = 291,835,696.96/19,691.76
  6. Step 6: Final answer
    x = 14,820.19

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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.