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Finding the Fourth Proportional to 3,751.56, 5,629.32 and 1,560.42

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Solution

The fourth proportional to 3,751.56, 5,629.32 and 1,560.42 is: 2,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.56 : 5,629.32 = 1,560.42 : x
  2. Step 2: Convert to fraction form
    3,751.56/5,629.32 = 1,560.42/x
  3. Step 3: Cross multiply
    3,751.56x = 5,629.32 × 1,560.42
  4. Step 4: Simplify right side
    3,751.56x = 8,784,103.51
  5. Step 5: Solve for x
    x = 8,784,103.51/3,751.56
  6. Step 6: Final answer
    x = 2,341.45

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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.