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Finding the Fourth Proportional to 19,578.40, 27,008.96 and 11,190

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Solution

The fourth proportional to 19,578.40, 27,008.96 and 11,190 is: 15,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.40 : 27,008.96 = 11,190 : x
  2. Step 2: Convert to fraction form
    19,578.40/27,008.96 = 11,190/x
  3. Step 3: Cross multiply
    19,578.40x = 27,008.96 × 11,190
  4. Step 4: Simplify right side
    19,578.40x = 302,230,262.40
  5. Step 5: Solve for x
    x = 302,230,262.40/19,578.40
  6. Step 6: Final answer
    x = 15,436.92

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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.