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Finding the Fourth Proportional to 7,918.02, 11,881.49 and 5,454.81

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Solution

The fourth proportional to 7,918.02, 11,881.49 and 5,454.81 is: 8,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.02 : 11,881.49 = 5,454.81 : x
  2. Step 2: Convert to fraction form
    7,918.02/11,881.49 = 5,454.81/x
  3. Step 3: Cross multiply
    7,918.02x = 11,881.49 × 5,454.81
  4. Step 4: Simplify right side
    7,918.02x = 64,811,243.19
  5. Step 5: Solve for x
    x = 64,811,243.19/7,918.02
  6. Step 6: Final answer
    x = 8,185.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.