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Finding the Fourth Proportional to 5,709.28, 8,564 and 1,816.96

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Solution

The fourth proportional to 5,709.28, 8,564 and 1,816.96 is: 2,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.28 : 8,564 = 1,816.96 : x
  2. Step 2: Convert to fraction form
    5,709.28/8,564 = 1,816.96/x
  3. Step 3: Cross multiply
    5,709.28x = 8,564 × 1,816.96
  4. Step 4: Simplify right side
    5,709.28x = 15,560,445.44
  5. Step 5: Solve for x
    x = 15,560,445.44/5,709.28
  6. Step 6: Final answer
    x = 2,725.47

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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.