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Finding the Fourth Proportional to 6,378.78, 8,806.77 and 4,111.11

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Solution

The fourth proportional to 6,378.78, 8,806.77 and 4,111.11 is: 5,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.78 : 8,806.77 = 4,111.11 : x
  2. Step 2: Convert to fraction form
    6,378.78/8,806.77 = 4,111.11/x
  3. Step 3: Cross multiply
    6,378.78x = 8,806.77 × 4,111.11
  4. Step 4: Simplify right side
    6,378.78x = 36,205,600.21
  5. Step 5: Solve for x
    x = 36,205,600.21/6,378.78
  6. Step 6: Final answer
    x = 5,675.94

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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.