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Finding the Fourth Proportional to 6,766.86, 9,337.63 and 3,782.28

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Solution

The fourth proportional to 6,766.86, 9,337.63 and 3,782.28 is: 5,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.86 : 9,337.63 = 3,782.28 : x
  2. Step 2: Convert to fraction form
    6,766.86/9,337.63 = 3,782.28/x
  3. Step 3: Cross multiply
    6,766.86x = 9,337.63 × 3,782.28
  4. Step 4: Simplify right side
    6,766.86x = 35,317,531.20
  5. Step 5: Solve for x
    x = 35,317,531.20/6,766.86
  6. Step 6: Final answer
    x = 5,219.19

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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.