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Finding the Fourth Proportional to 4,724.64, 7,084.89 and 1,800.89

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Solution

The fourth proportional to 4,724.64, 7,084.89 and 1,800.89 is: 2,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.64 : 7,084.89 = 1,800.89 : x
  2. Step 2: Convert to fraction form
    4,724.64/7,084.89 = 1,800.89/x
  3. Step 3: Cross multiply
    4,724.64x = 7,084.89 × 1,800.89
  4. Step 4: Simplify right side
    4,724.64x = 12,759,107.55
  5. Step 5: Solve for x
    x = 12,759,107.55/4,724.64
  6. Step 6: Final answer
    x = 2,700.55

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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.