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Finding the Fourth Proportional to 3,543.78, 4,890.87 and 2,051.76

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Solution

The fourth proportional to 3,543.78, 4,890.87 and 2,051.76 is: 2,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.78 : 4,890.87 = 2,051.76 : x
  2. Step 2: Convert to fraction form
    3,543.78/4,890.87 = 2,051.76/x
  3. Step 3: Cross multiply
    3,543.78x = 4,890.87 × 2,051.76
  4. Step 4: Simplify right side
    3,543.78x = 10,034,891.43
  5. Step 5: Solve for x
    x = 10,034,891.43/3,543.78
  6. Step 6: Final answer
    x = 2,831.69

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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.