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Finding the Fourth Proportional to 5,702.64, 7,869.78 and 3,578.27

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Solution

The fourth proportional to 5,702.64, 7,869.78 and 3,578.27 is: 4,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.64 : 7,869.78 = 3,578.27 : x
  2. Step 2: Convert to fraction form
    5,702.64/7,869.78 = 3,578.27/x
  3. Step 3: Cross multiply
    5,702.64x = 7,869.78 × 3,578.27
  4. Step 4: Simplify right side
    5,702.64x = 28,160,158.33
  5. Step 5: Solve for x
    x = 28,160,158.33/5,702.64
  6. Step 6: Final answer
    x = 4,938.09

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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.