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Finding the Fourth Proportional to 1,787.94, 2,468.57 and 1,116.01

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Solution

The fourth proportional to 1,787.94, 2,468.57 and 1,116.01 is: 1,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.94 : 2,468.57 = 1,116.01 : x
  2. Step 2: Convert to fraction form
    1,787.94/2,468.57 = 1,116.01/x
  3. Step 3: Cross multiply
    1,787.94x = 2,468.57 × 1,116.01
  4. Step 4: Simplify right side
    1,787.94x = 2,754,948.81
  5. Step 5: Solve for x
    x = 2,754,948.81/1,787.94
  6. Step 6: Final answer
    x = 1,540.85

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Why These Related Problems?

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