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Finding the Fourth Proportional to 3,751.28, 5,626.56 and 1,154

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Solution

The fourth proportional to 3,751.28, 5,626.56 and 1,154 is: 1,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.28 : 5,626.56 = 1,154 : x
  2. Step 2: Convert to fraction form
    3,751.28/5,626.56 = 1,154/x
  3. Step 3: Cross multiply
    3,751.28x = 5,626.56 × 1,154
  4. Step 4: Simplify right side
    3,751.28x = 6,493,050.24
  5. Step 5: Solve for x
    x = 6,493,050.24/3,751.28
  6. Step 6: Final answer
    x = 1,730.89

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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.