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Finding the Fourth Proportional to 3,604.59, 5,406.93 and 1,872

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Solution

The fourth proportional to 3,604.59, 5,406.93 and 1,872 is: 2,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.59 : 5,406.93 = 1,872 : x
  2. Step 2: Convert to fraction form
    3,604.59/5,406.93 = 1,872/x
  3. Step 3: Cross multiply
    3,604.59x = 5,406.93 × 1,872
  4. Step 4: Simplify right side
    3,604.59x = 10,121,772.96
  5. Step 5: Solve for x
    x = 10,121,772.96/3,604.59
  6. Step 6: Final answer
    x = 2,808.02

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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.