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Finding the Fourth Proportional to 3,543.46, 4,890.21 and 2,051.90

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Solution

The fourth proportional to 3,543.46, 4,890.21 and 2,051.90 is: 2,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.46 : 4,890.21 = 2,051.90 : x
  2. Step 2: Convert to fraction form
    3,543.46/4,890.21 = 2,051.90/x
  3. Step 3: Cross multiply
    3,543.46x = 4,890.21 × 2,051.90
  4. Step 4: Simplify right side
    3,543.46x = 10,034,208.09
  5. Step 5: Solve for x
    x = 10,034,208.09/3,543.46
  6. Step 6: Final answer
    x = 2,831.76

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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.