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Finding the Fourth Proportional to 5,811.84, 8,721 and 1,917.36

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Solution

The fourth proportional to 5,811.84, 8,721 and 1,917.36 is: 2,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.84 : 8,721 = 1,917.36 : x
  2. Step 2: Convert to fraction form
    5,811.84/8,721 = 1,917.36/x
  3. Step 3: Cross multiply
    5,811.84x = 8,721 × 1,917.36
  4. Step 4: Simplify right side
    5,811.84x = 16,721,296.56
  5. Step 5: Solve for x
    x = 16,721,296.56/5,811.84
  6. Step 6: Final answer
    x = 2,877.11

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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.