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Finding the Fourth Proportional to 2,858.84, 4,288.72 and 884.00

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Solution

The fourth proportional to 2,858.84, 4,288.72 and 884.00 is: 1,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.84 : 4,288.72 = 884.00 : x
  2. Step 2: Convert to fraction form
    2,858.84/4,288.72 = 884.00/x
  3. Step 3: Cross multiply
    2,858.84x = 4,288.72 × 884.00
  4. Step 4: Simplify right side
    2,858.84x = 3,791,236.99
  5. Step 5: Solve for x
    x = 3,791,236.99/2,858.84
  6. Step 6: Final answer
    x = 1,326.15

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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.