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Finding the Fourth Proportional to 1,989.86, 2,977.28 and 1,787.76

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Solution

The fourth proportional to 1,989.86, 2,977.28 and 1,787.76 is: 2,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.86 : 2,977.28 = 1,787.76 : x
  2. Step 2: Convert to fraction form
    1,989.86/2,977.28 = 1,787.76/x
  3. Step 3: Cross multiply
    1,989.86x = 2,977.28 × 1,787.76
  4. Step 4: Simplify right side
    1,989.86x = 5,322,653.15
  5. Step 5: Solve for x
    x = 5,322,653.15/1,989.86
  6. Step 6: Final answer
    x = 2,674.89

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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.