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Finding the Fourth Proportional to 3,841.59, 5,762.58 and 1,869.03

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Solution

The fourth proportional to 3,841.59, 5,762.58 and 1,869.03 is: 2,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.59 : 5,762.58 = 1,869.03 : x
  2. Step 2: Convert to fraction form
    3,841.59/5,762.58 = 1,869.03/x
  3. Step 3: Cross multiply
    3,841.59x = 5,762.58 × 1,869.03
  4. Step 4: Simplify right side
    3,841.59x = 10,770,434.90
  5. Step 5: Solve for x
    x = 10,770,434.90/3,841.59
  6. Step 6: Final answer
    x = 2,803.64

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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.