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Finding the Fourth Proportional to 19,853.68, 27,400.44 and 11,470

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Solution

The fourth proportional to 19,853.68, 27,400.44 and 11,470 is: 15,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.68 : 27,400.44 = 11,470 : x
  2. Step 2: Convert to fraction form
    19,853.68/27,400.44 = 11,470/x
  3. Step 3: Cross multiply
    19,853.68x = 27,400.44 × 11,470
  4. Step 4: Simplify right side
    19,853.68x = 314,283,046.80
  5. Step 5: Solve for x
    x = 314,283,046.80/19,853.68
  6. Step 6: Final answer
    x = 15,829.96

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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.