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Finding the Fourth Proportional to 5,142.88, 7,714.64 and 1,395.24

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Solution

The fourth proportional to 5,142.88, 7,714.64 and 1,395.24 is: 2,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.88 : 7,714.64 = 1,395.24 : x
  2. Step 2: Convert to fraction form
    5,142.88/7,714.64 = 1,395.24/x
  3. Step 3: Cross multiply
    5,142.88x = 7,714.64 × 1,395.24
  4. Step 4: Simplify right side
    5,142.88x = 10,763,774.31
  5. Step 5: Solve for x
    x = 10,763,774.31/5,142.88
  6. Step 6: Final answer
    x = 2,092.95

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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.