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Finding the Fourth Proportional to 3,484.83, 5,227.21 and 887.74

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Solution

The fourth proportional to 3,484.83, 5,227.21 and 887.74 is: 1,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.83 : 5,227.21 = 887.74 : x
  2. Step 2: Convert to fraction form
    3,484.83/5,227.21 = 887.74/x
  3. Step 3: Cross multiply
    3,484.83x = 5,227.21 × 887.74
  4. Step 4: Simplify right side
    3,484.83x = 4,640,403.41
  5. Step 5: Solve for x
    x = 4,640,403.41/3,484.83
  6. Step 6: Final answer
    x = 1,331.60

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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.