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Finding the Fourth Proportional to 6,406.78, 8,841.95 and 3,889.54

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Solution

The fourth proportional to 6,406.78, 8,841.95 and 3,889.54 is: 5,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.78 : 8,841.95 = 3,889.54 : x
  2. Step 2: Convert to fraction form
    6,406.78/8,841.95 = 3,889.54/x
  3. Step 3: Cross multiply
    6,406.78x = 8,841.95 × 3,889.54
  4. Step 4: Simplify right side
    6,406.78x = 34,391,098.76
  5. Step 5: Solve for x
    x = 34,391,098.76/6,406.78
  6. Step 6: Final answer
    x = 5,367.92

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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.