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Finding the Fourth Proportional to 1,958.02, 2,936.95 and 787.68

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Solution

The fourth proportional to 1,958.02, 2,936.95 and 787.68 is: 1,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.02 : 2,936.95 = 787.68 : x
  2. Step 2: Convert to fraction form
    1,958.02/2,936.95 = 787.68/x
  3. Step 3: Cross multiply
    1,958.02x = 2,936.95 × 787.68
  4. Step 4: Simplify right side
    1,958.02x = 2,313,374.81
  5. Step 5: Solve for x
    x = 2,313,374.81/1,958.02
  6. Step 6: Final answer
    x = 1,181.49

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1.5x scale

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.