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Finding the Fourth Proportional to 1,787.31, 2,460.52 and 1,537.62

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Solution

The fourth proportional to 1,787.31, 2,460.52 and 1,537.62 is: 2,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.31 : 2,460.52 = 1,537.62 : x
  2. Step 2: Convert to fraction form
    1,787.31/2,460.52 = 1,537.62/x
  3. Step 3: Cross multiply
    1,787.31x = 2,460.52 × 1,537.62
  4. Step 4: Simplify right side
    1,787.31x = 3,783,344.76
  5. Step 5: Solve for x
    x = 3,783,344.76/1,787.31
  6. Step 6: Final answer
    x = 2,116.78

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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.