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Finding the Fourth Proportional to 3,751.40, 5,176.74 and 2,095.40

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Solution

The fourth proportional to 3,751.40, 5,176.74 and 2,095.40 is: 2,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.40 : 5,176.74 = 2,095.40 : x
  2. Step 2: Convert to fraction form
    3,751.40/5,176.74 = 2,095.40/x
  3. Step 3: Cross multiply
    3,751.40x = 5,176.74 × 2,095.40
  4. Step 4: Simplify right side
    3,751.40x = 10,847,341.00
  5. Step 5: Solve for x
    x = 10,847,341.00/3,751.40
  6. Step 6: Final answer
    x = 2,891.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.