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Finding the Fourth Proportional to 6,564.71, 9,847.06 and 1,947.71

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Solution

The fourth proportional to 6,564.71, 9,847.06 and 1,947.71 is: 2,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.71 : 9,847.06 = 1,947.71 : x
  2. Step 2: Convert to fraction form
    6,564.71/9,847.06 = 1,947.71/x
  3. Step 3: Cross multiply
    6,564.71x = 9,847.06 × 1,947.71
  4. Step 4: Simplify right side
    6,564.71x = 19,179,236.98
  5. Step 5: Solve for x
    x = 19,179,236.98/6,564.71
  6. Step 6: Final answer
    x = 2,921.57

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Similar ratio
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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.