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Finding the Fourth Proportional to 3,762.94, 5,646.34 and 1,543.39

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Solution

The fourth proportional to 3,762.94, 5,646.34 and 1,543.39 is: 2,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.94 : 5,646.34 = 1,543.39 : x
  2. Step 2: Convert to fraction form
    3,762.94/5,646.34 = 1,543.39/x
  3. Step 3: Cross multiply
    3,762.94x = 5,646.34 × 1,543.39
  4. Step 4: Simplify right side
    3,762.94x = 8,714,504.69
  5. Step 5: Solve for x
    x = 8,714,504.69/3,762.94
  6. Step 6: Final answer
    x = 2,315.88

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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.