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Finding the Fourth Proportional to 3,842, 5,765.56 and 1,410

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Solution

The fourth proportional to 3,842, 5,765.56 and 1,410 is: 2,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842 : 5,765.56 = 1,410 : x
  2. Step 2: Convert to fraction form
    3,842/5,765.56 = 1,410/x
  3. Step 3: Cross multiply
    3,842x = 5,765.56 × 1,410
  4. Step 4: Simplify right side
    3,842x = 8,129,439.60
  5. Step 5: Solve for x
    x = 8,129,439.60/3,842
  6. Step 6: Final answer
    x = 2,115.94

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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.