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Finding the Fourth Proportional to 1,787.40, 2,465.40 and 1,455.84

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Solution

The fourth proportional to 1,787.40, 2,465.40 and 1,455.84 is: 2,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.40 : 2,465.40 = 1,455.84 : x
  2. Step 2: Convert to fraction form
    1,787.40/2,465.40 = 1,455.84/x
  3. Step 3: Cross multiply
    1,787.40x = 2,465.40 × 1,455.84
  4. Step 4: Simplify right side
    1,787.40x = 3,589,227.94
  5. Step 5: Solve for x
    x = 3,589,227.94/1,787.40
  6. Step 6: Final answer
    x = 2,008.07

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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.