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Finding the Fourth Proportional to 5,407.56, 8,109.72 and 1,944

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Solution

The fourth proportional to 5,407.56, 8,109.72 and 1,944 is: 2,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.56 : 8,109.72 = 1,944 : x
  2. Step 2: Convert to fraction form
    5,407.56/8,109.72 = 1,944/x
  3. Step 3: Cross multiply
    5,407.56x = 8,109.72 × 1,944
  4. Step 4: Simplify right side
    5,407.56x = 15,765,295.68
  5. Step 5: Solve for x
    x = 15,765,295.68/5,407.56
  6. Step 6: Final answer
    x = 2,915.42

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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.