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Finding the Fourth Proportional to 1,893.81, 2,840.73 and 661.21

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Solution

The fourth proportional to 1,893.81, 2,840.73 and 661.21 is: 991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.81 : 2,840.73 = 661.21 : x
  2. Step 2: Convert to fraction form
    1,893.81/2,840.73 = 661.21/x
  3. Step 3: Cross multiply
    1,893.81x = 2,840.73 × 661.21
  4. Step 4: Simplify right side
    1,893.81x = 1,878,319.08
  5. Step 5: Solve for x
    x = 1,878,319.08/1,893.81
  6. Step 6: Final answer
    x = 991.82

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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.