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Finding the Fourth Proportional to 3,686.31, 5,087.06 and 2,030.31

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Solution

The fourth proportional to 3,686.31, 5,087.06 and 2,030.31 is: 2,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.31 : 5,087.06 = 2,030.31 : x
  2. Step 2: Convert to fraction form
    3,686.31/5,087.06 = 2,030.31/x
  3. Step 3: Cross multiply
    3,686.31x = 5,087.06 × 2,030.31
  4. Step 4: Simplify right side
    3,686.31x = 10,328,298.64
  5. Step 5: Solve for x
    x = 10,328,298.64/3,686.31
  6. Step 6: Final answer
    x = 2,801.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.