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Finding the Fourth Proportional to 5,690.26, 7,847.92 and 4,778.26

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Solution

The fourth proportional to 5,690.26, 7,847.92 and 4,778.26 is: 6,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.26 : 7,847.92 = 4,778.26 : x
  2. Step 2: Convert to fraction form
    5,690.26/7,847.92 = 4,778.26/x
  3. Step 3: Cross multiply
    5,690.26x = 7,847.92 × 4,778.26
  4. Step 4: Simplify right side
    5,690.26x = 37,499,402.22
  5. Step 5: Solve for x
    x = 37,499,402.22/5,690.26
  6. Step 6: Final answer
    x = 6,590.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.