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Finding the Fourth Proportional to 5,486.75, 8,234.74 and 5,140.77

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Solution

The fourth proportional to 5,486.75, 8,234.74 and 5,140.77 is: 7,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.75 : 8,234.74 = 5,140.77 : x
  2. Step 2: Convert to fraction form
    5,486.75/8,234.74 = 5,140.77/x
  3. Step 3: Cross multiply
    5,486.75x = 8,234.74 × 5,140.77
  4. Step 4: Simplify right side
    5,486.75x = 42,332,879.90
  5. Step 5: Solve for x
    x = 42,332,879.90/5,486.75
  6. Step 6: Final answer
    x = 7,715.48

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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.