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Finding the Fourth Proportional to 5,612.88, 8,408.56 and 3,140.22

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Solution

The fourth proportional to 5,612.88, 8,408.56 and 3,140.22 is: 4,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.88 : 8,408.56 = 3,140.22 : x
  2. Step 2: Convert to fraction form
    5,612.88/8,408.56 = 3,140.22/x
  3. Step 3: Cross multiply
    5,612.88x = 8,408.56 × 3,140.22
  4. Step 4: Simplify right side
    5,612.88x = 26,404,728.28
  5. Step 5: Solve for x
    x = 26,404,728.28/5,612.88
  6. Step 6: Final answer
    x = 4,704.31

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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.