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Finding the Fourth Proportional to 5,642.80, 8,464.20 and 5,027.20

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Solution

The fourth proportional to 5,642.80, 8,464.20 and 5,027.20 is: 7,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.80 : 8,464.20 = 5,027.20 : x
  2. Step 2: Convert to fraction form
    5,642.80/8,464.20 = 5,027.20/x
  3. Step 3: Cross multiply
    5,642.80x = 8,464.20 × 5,027.20
  4. Step 4: Simplify right side
    5,642.80x = 42,551,226.24
  5. Step 5: Solve for x
    x = 42,551,226.24/5,642.80
  6. Step 6: Final answer
    x = 7,540.80

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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.