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Finding the Fourth Proportional to 5,917, 8,875.66 and 1,813

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Solution

The fourth proportional to 5,917, 8,875.66 and 1,813 is: 2,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917 : 8,875.66 = 1,813 : x
  2. Step 2: Convert to fraction form
    5,917/8,875.66 = 1,813/x
  3. Step 3: Cross multiply
    5,917x = 8,875.66 × 1,813
  4. Step 4: Simplify right side
    5,917x = 16,091,571.58
  5. Step 5: Solve for x
    x = 16,091,571.58/5,917
  6. Step 6: Final answer
    x = 2,719.55

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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.