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Finding the Fourth Proportional to 2,840.47, 3,920.81 and 1,662.53

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Solution

The fourth proportional to 2,840.47, 3,920.81 and 1,662.53 is: 2,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.47 : 3,920.81 = 1,662.53 : x
  2. Step 2: Convert to fraction form
    2,840.47/3,920.81 = 1,662.53/x
  3. Step 3: Cross multiply
    2,840.47x = 3,920.81 × 1,662.53
  4. Step 4: Simplify right side
    2,840.47x = 6,518,436.33
  5. Step 5: Solve for x
    x = 6,518,436.33/2,840.47
  6. Step 6: Final answer
    x = 2,294.85

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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.