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Finding the Fourth Proportional to 5,155.88, 7,714.38 and 2,965.64

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Solution

The fourth proportional to 5,155.88, 7,714.38 and 2,965.64 is: 4,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.88 : 7,714.38 = 2,965.64 : x
  2. Step 2: Convert to fraction form
    5,155.88/7,714.38 = 2,965.64/x
  3. Step 3: Cross multiply
    5,155.88x = 7,714.38 × 2,965.64
  4. Step 4: Simplify right side
    5,155.88x = 22,878,073.90
  5. Step 5: Solve for x
    x = 22,878,073.90/5,155.88
  6. Step 6: Final answer
    x = 4,437.28

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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.