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Finding the Fourth Proportional to 3,873.84, 5,805.72 and 1,562.64

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Solution

The fourth proportional to 3,873.84, 5,805.72 and 1,562.64 is: 2,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.84 : 5,805.72 = 1,562.64 : x
  2. Step 2: Convert to fraction form
    3,873.84/5,805.72 = 1,562.64/x
  3. Step 3: Cross multiply
    3,873.84x = 5,805.72 × 1,562.64
  4. Step 4: Simplify right side
    3,873.84x = 9,072,250.30
  5. Step 5: Solve for x
    x = 9,072,250.30/3,873.84
  6. Step 6: Final answer
    x = 2,341.93

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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.