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Finding the Fourth Proportional to 2,840.96, 3,920.48 and 1,582

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Solution

The fourth proportional to 2,840.96, 3,920.48 and 1,582 is: 2,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.96 : 3,920.48 = 1,582 : x
  2. Step 2: Convert to fraction form
    2,840.96/3,920.48 = 1,582/x
  3. Step 3: Cross multiply
    2,840.96x = 3,920.48 × 1,582
  4. Step 4: Simplify right side
    2,840.96x = 6,202,199.36
  5. Step 5: Solve for x
    x = 6,202,199.36/2,840.96
  6. Step 6: Final answer
    x = 2,183.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.