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Finding the Fourth Proportional to 1,827.61, 2,740.94 and 787.97

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Solution

The fourth proportional to 1,827.61, 2,740.94 and 787.97 is: 1,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.61 : 2,740.94 = 787.97 : x
  2. Step 2: Convert to fraction form
    1,827.61/2,740.94 = 787.97/x
  3. Step 3: Cross multiply
    1,827.61x = 2,740.94 × 787.97
  4. Step 4: Simplify right side
    1,827.61x = 2,159,774.55
  5. Step 5: Solve for x
    x = 2,159,774.55/1,827.61
  6. Step 6: Final answer
    x = 1,181.75

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Why These Related Problems?

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