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Finding the Fourth Proportional to 1,192.02, 1,787.57 and 986.99

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Solution

The fourth proportional to 1,192.02, 1,787.57 and 986.99 is: 1,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.02 : 1,787.57 = 986.99 : x
  2. Step 2: Convert to fraction form
    1,192.02/1,787.57 = 986.99/x
  3. Step 3: Cross multiply
    1,192.02x = 1,787.57 × 986.99
  4. Step 4: Simplify right side
    1,192.02x = 1,764,303.54
  5. Step 5: Solve for x
    x = 1,764,303.54/1,192.02
  6. Step 6: Final answer
    x = 1,480.10

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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.