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Finding the Fourth Proportional to 1,840.83, 2,761.70 and 801.01

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Solution

The fourth proportional to 1,840.83, 2,761.70 and 801.01 is: 1,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.83 : 2,761.70 = 801.01 : x
  2. Step 2: Convert to fraction form
    1,840.83/2,761.70 = 801.01/x
  3. Step 3: Cross multiply
    1,840.83x = 2,761.70 × 801.01
  4. Step 4: Simplify right side
    1,840.83x = 2,212,156.53
  5. Step 5: Solve for x
    x = 2,212,156.53/1,840.83
  6. Step 6: Final answer
    x = 1,201.72

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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.