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Finding the Fourth Proportional to 2,855.46, 4,285.02 and 2,551.02

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Solution

The fourth proportional to 2,855.46, 4,285.02 and 2,551.02 is: 3,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.46 : 4,285.02 = 2,551.02 : x
  2. Step 2: Convert to fraction form
    2,855.46/4,285.02 = 2,551.02/x
  3. Step 3: Cross multiply
    2,855.46x = 4,285.02 × 2,551.02
  4. Step 4: Simplify right side
    2,855.46x = 10,931,171.72
  5. Step 5: Solve for x
    x = 10,931,171.72/2,855.46
  6. Step 6: Final answer
    x = 3,828.16

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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.