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Finding the Fourth Proportional to 3,652.40, 5,040.31 and 1,973.81

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Solution

The fourth proportional to 3,652.40, 5,040.31 and 1,973.81 is: 2,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.40 : 5,040.31 = 1,973.81 : x
  2. Step 2: Convert to fraction form
    3,652.40/5,040.31 = 1,973.81/x
  3. Step 3: Cross multiply
    3,652.40x = 5,040.31 × 1,973.81
  4. Step 4: Simplify right side
    3,652.40x = 9,948,607.17
  5. Step 5: Solve for x
    x = 9,948,607.17/3,652.40
  6. Step 6: Final answer
    x = 2,723.85

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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.