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Finding the Fourth Proportional to 2,308.84, 3,463.09 and 1,431.51

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Solution

The fourth proportional to 2,308.84, 3,463.09 and 1,431.51 is: 2,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.84 : 3,463.09 = 1,431.51 : x
  2. Step 2: Convert to fraction form
    2,308.84/3,463.09 = 1,431.51/x
  3. Step 3: Cross multiply
    2,308.84x = 3,463.09 × 1,431.51
  4. Step 4: Simplify right side
    2,308.84x = 4,957,431.40
  5. Step 5: Solve for x
    x = 4,957,431.40/2,308.84
  6. Step 6: Final answer
    x = 2,147.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.