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Finding the Fourth Proportional to 1,872.64, 2,808.94 and 846.64

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Solution

The fourth proportional to 1,872.64, 2,808.94 and 846.64 is: 1,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.64 : 2,808.94 = 846.64 : x
  2. Step 2: Convert to fraction form
    1,872.64/2,808.94 = 846.64/x
  3. Step 3: Cross multiply
    1,872.64x = 2,808.94 × 846.64
  4. Step 4: Simplify right side
    1,872.64x = 2,378,160.96
  5. Step 5: Solve for x
    x = 2,378,160.96/1,872.64
  6. Step 6: Final answer
    x = 1,269.95

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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.