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Finding the Fourth Proportional to 2,056.12, 3,084.06 and 517

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Solution

The fourth proportional to 2,056.12, 3,084.06 and 517 is: 775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.12 : 3,084.06 = 517 : x
  2. Step 2: Convert to fraction form
    2,056.12/3,084.06 = 517/x
  3. Step 3: Cross multiply
    2,056.12x = 3,084.06 × 517
  4. Step 4: Simplify right side
    2,056.12x = 1,594,459.02
  5. Step 5: Solve for x
    x = 1,594,459.02/2,056.12
  6. Step 6: Final answer
    x = 775.47

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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.