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Finding the Fourth Proportional to 5,615.96, 8,422.86 and 1,917.81

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Solution

The fourth proportional to 5,615.96, 8,422.86 and 1,917.81 is: 2,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.96 : 8,422.86 = 1,917.81 : x
  2. Step 2: Convert to fraction form
    5,615.96/8,422.86 = 1,917.81/x
  3. Step 3: Cross multiply
    5,615.96x = 8,422.86 × 1,917.81
  4. Step 4: Simplify right side
    5,615.96x = 16,153,403.02
  5. Step 5: Solve for x
    x = 16,153,403.02/5,615.96
  6. Step 6: Final answer
    x = 2,876.34

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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.