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Finding the Fourth Proportional to 19,658.26, 27,128.01 and 10,705.87

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Solution

The fourth proportional to 19,658.26, 27,128.01 and 10,705.87 is: 14,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.26 : 27,128.01 = 10,705.87 : x
  2. Step 2: Convert to fraction form
    19,658.26/27,128.01 = 10,705.87/x
  3. Step 3: Cross multiply
    19,658.26x = 27,128.01 × 10,705.87
  4. Step 4: Simplify right side
    19,658.26x = 290,428,948.42
  5. Step 5: Solve for x
    x = 290,428,948.42/19,658.26
  6. Step 6: Final answer
    x = 14,773.89

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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.