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Finding the Fourth Proportional to 13,877.76, 19,151.82 and 7,910.40

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Solution

The fourth proportional to 13,877.76, 19,151.82 and 7,910.40 is: 10,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.76 : 19,151.82 = 7,910.40 : x
  2. Step 2: Convert to fraction form
    13,877.76/19,151.82 = 7,910.40/x
  3. Step 3: Cross multiply
    13,877.76x = 19,151.82 × 7,910.40
  4. Step 4: Simplify right side
    13,877.76x = 151,498,556.93
  5. Step 5: Solve for x
    x = 151,498,556.93/13,877.76
  6. Step 6: Final answer
    x = 10,916.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.