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Finding the Fourth Proportional to 3,702.99, 5,555.60 and 2,142.64

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Solution

The fourth proportional to 3,702.99, 5,555.60 and 2,142.64 is: 3,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.99 : 5,555.60 = 2,142.64 : x
  2. Step 2: Convert to fraction form
    3,702.99/5,555.60 = 2,142.64/x
  3. Step 3: Cross multiply
    3,702.99x = 5,555.60 × 2,142.64
  4. Step 4: Simplify right side
    3,702.99x = 11,903,650.78
  5. Step 5: Solve for x
    x = 11,903,650.78/3,702.99
  6. Step 6: Final answer
    x = 3,214.61

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1.5x scale

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.