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Finding the Fourth Proportional to 5,382.86, 8,105.87 and 4,697.66

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Solution

The fourth proportional to 5,382.86, 8,105.87 and 4,697.66 is: 7,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.86 : 8,105.87 = 4,697.66 : x
  2. Step 2: Convert to fraction form
    5,382.86/8,105.87 = 4,697.66/x
  3. Step 3: Cross multiply
    5,382.86x = 8,105.87 × 4,697.66
  4. Step 4: Simplify right side
    5,382.86x = 38,078,653.27
  5. Step 5: Solve for x
    x = 38,078,653.27/5,382.86
  6. Step 6: Final answer
    x = 7,074.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.