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Finding the Fourth Proportional to 5,702.78, 8,546.39 and 3,619.05

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Solution

The fourth proportional to 5,702.78, 8,546.39 and 3,619.05 is: 5,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.78 : 8,546.39 = 3,619.05 : x
  2. Step 2: Convert to fraction form
    5,702.78/8,546.39 = 3,619.05/x
  3. Step 3: Cross multiply
    5,702.78x = 8,546.39 × 3,619.05
  4. Step 4: Simplify right side
    5,702.78x = 30,929,821.78
  5. Step 5: Solve for x
    x = 30,929,821.78/5,702.78
  6. Step 6: Final answer
    x = 5,423.64

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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.