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Finding the Fourth Proportional to 13,884.18, 19,161.19 and 7,916.00

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Solution

The fourth proportional to 13,884.18, 19,161.19 and 7,916.00 is: 10,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.18 : 19,161.19 = 7,916.00 : x
  2. Step 2: Convert to fraction form
    13,884.18/19,161.19 = 7,916.00/x
  3. Step 3: Cross multiply
    13,884.18x = 19,161.19 × 7,916.00
  4. Step 4: Simplify right side
    13,884.18x = 151,679,894.13
  5. Step 5: Solve for x
    x = 151,679,894.13/13,884.18
  6. Step 6: Final answer
    x = 10,924.66

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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.