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Finding the Fourth Proportional to 5,679.36, 8,509.50 and 4,285.68

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Solution

The fourth proportional to 5,679.36, 8,509.50 and 4,285.68 is: 6,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.36 : 8,509.50 = 4,285.68 : x
  2. Step 2: Convert to fraction form
    5,679.36/8,509.50 = 4,285.68/x
  3. Step 3: Cross multiply
    5,679.36x = 8,509.50 × 4,285.68
  4. Step 4: Simplify right side
    5,679.36x = 36,468,993.96
  5. Step 5: Solve for x
    x = 36,468,993.96/5,679.36
  6. Step 6: Final answer
    x = 6,421.32

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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.