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Finding the Fourth Proportional to 5,880.77, 8,109.11 and 4,201.54

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Solution

The fourth proportional to 5,880.77, 8,109.11 and 4,201.54 is: 5,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.77 : 8,109.11 = 4,201.54 : x
  2. Step 2: Convert to fraction form
    5,880.77/8,109.11 = 4,201.54/x
  3. Step 3: Cross multiply
    5,880.77x = 8,109.11 × 4,201.54
  4. Step 4: Simplify right side
    5,880.77x = 34,070,740.26
  5. Step 5: Solve for x
    x = 34,070,740.26/5,880.77
  6. Step 6: Final answer
    x = 5,793.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.