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Finding the Fourth Proportional to 5,642.88, 8,464.56 and 2,180.64

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Solution

The fourth proportional to 5,642.88, 8,464.56 and 2,180.64 is: 3,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.88 : 8,464.56 = 2,180.64 : x
  2. Step 2: Convert to fraction form
    5,642.88/8,464.56 = 2,180.64/x
  3. Step 3: Cross multiply
    5,642.88x = 8,464.56 × 2,180.64
  4. Step 4: Simplify right side
    5,642.88x = 18,458,158.12
  5. Step 5: Solve for x
    x = 18,458,158.12/5,642.88
  6. Step 6: Final answer
    x = 3,271.05

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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.