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Finding the Fourth Proportional to 3,007.84, 4,511.78 and 816.55

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Solution

The fourth proportional to 3,007.84, 4,511.78 and 816.55 is: 1,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.84 : 4,511.78 = 816.55 : x
  2. Step 2: Convert to fraction form
    3,007.84/4,511.78 = 816.55/x
  3. Step 3: Cross multiply
    3,007.84x = 4,511.78 × 816.55
  4. Step 4: Simplify right side
    3,007.84x = 3,684,089.88
  5. Step 5: Solve for x
    x = 3,684,089.88/3,007.84
  6. Step 6: Final answer
    x = 1,224.83

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1.5x scale

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.