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Finding the Fourth Proportional to 5,643.26, 8,462.70 and 1,944.80

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Solution

The fourth proportional to 5,643.26, 8,462.70 and 1,944.80 is: 2,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.26 : 8,462.70 = 1,944.80 : x
  2. Step 2: Convert to fraction form
    5,643.26/8,462.70 = 1,944.80/x
  3. Step 3: Cross multiply
    5,643.26x = 8,462.70 × 1,944.80
  4. Step 4: Simplify right side
    5,643.26x = 16,458,258.96
  5. Step 5: Solve for x
    x = 16,458,258.96/5,643.26
  6. Step 6: Final answer
    x = 2,916.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.