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Finding the Fourth Proportional to 6,419.93, 8,856.87 and 3,901.64

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Solution

The fourth proportional to 6,419.93, 8,856.87 and 3,901.64 is: 5,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.93 : 8,856.87 = 3,901.64 : x
  2. Step 2: Convert to fraction form
    6,419.93/8,856.87 = 3,901.64/x
  3. Step 3: Cross multiply
    6,419.93x = 8,856.87 × 3,901.64
  4. Step 4: Simplify right side
    6,419.93x = 34,556,273.98
  5. Step 5: Solve for x
    x = 34,556,273.98/6,419.93
  6. Step 6: Final answer
    x = 5,382.66

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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.