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Finding the Fourth Proportional to 5,644, 8,466.06 and 1,947.16

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Solution

The fourth proportional to 5,644, 8,466.06 and 1,947.16 is: 2,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644 : 8,466.06 = 1,947.16 : x
  2. Step 2: Convert to fraction form
    5,644/8,466.06 = 1,947.16/x
  3. Step 3: Cross multiply
    5,644x = 8,466.06 × 1,947.16
  4. Step 4: Simplify right side
    5,644x = 16,484,773.39
  5. Step 5: Solve for x
    x = 16,484,773.39/5,644
  6. Step 6: Final answer
    x = 2,920.76

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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.