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Finding the Fourth Proportional to 2,018.84, 3,026.37 and 787.04

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Solution

The fourth proportional to 2,018.84, 3,026.37 and 787.04 is: 1,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.84 : 3,026.37 = 787.04 : x
  2. Step 2: Convert to fraction form
    2,018.84/3,026.37 = 787.04/x
  3. Step 3: Cross multiply
    2,018.84x = 3,026.37 × 787.04
  4. Step 4: Simplify right side
    2,018.84x = 2,381,874.24
  5. Step 5: Solve for x
    x = 2,381,874.24/2,018.84
  6. Step 6: Final answer
    x = 1,179.82

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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.