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Finding the Fourth Proportional to 3,154.16, 4,728 and 1,205.84

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Solution

The fourth proportional to 3,154.16, 4,728 and 1,205.84 is: 1,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.16 : 4,728 = 1,205.84 : x
  2. Step 2: Convert to fraction form
    3,154.16/4,728 = 1,205.84/x
  3. Step 3: Cross multiply
    3,154.16x = 4,728 × 1,205.84
  4. Step 4: Simplify right side
    3,154.16x = 5,701,211.52
  5. Step 5: Solve for x
    x = 5,701,211.52/3,154.16
  6. Step 6: Final answer
    x = 1,807.52

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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.