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Finding the Fourth Proportional to 3,156.65, 4,733.37 and 1,840.82

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Solution

The fourth proportional to 3,156.65, 4,733.37 and 1,840.82 is: 2,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.65 : 4,733.37 = 1,840.82 : x
  2. Step 2: Convert to fraction form
    3,156.65/4,733.37 = 1,840.82/x
  3. Step 3: Cross multiply
    3,156.65x = 4,733.37 × 1,840.82
  4. Step 4: Simplify right side
    3,156.65x = 8,713,258.50
  5. Step 5: Solve for x
    x = 8,713,258.50/3,156.65
  6. Step 6: Final answer
    x = 2,760.29

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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.