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Finding the Fourth Proportional to 3,698.64, 5,108.56 and 2,702.32

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Solution

The fourth proportional to 3,698.64, 5,108.56 and 2,702.32 is: 3,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.64 : 5,108.56 = 2,702.32 : x
  2. Step 2: Convert to fraction form
    3,698.64/5,108.56 = 2,702.32/x
  3. Step 3: Cross multiply
    3,698.64x = 5,108.56 × 2,702.32
  4. Step 4: Simplify right side
    3,698.64x = 13,804,963.86
  5. Step 5: Solve for x
    x = 13,804,963.86/3,698.64
  6. Step 6: Final answer
    x = 3,732.44

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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.