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Finding the Fourth Proportional to 3,813.78, 5,698.81 and 2,907.16

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Solution

The fourth proportional to 3,813.78, 5,698.81 and 2,907.16 is: 4,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.78 : 5,698.81 = 2,907.16 : x
  2. Step 2: Convert to fraction form
    3,813.78/5,698.81 = 2,907.16/x
  3. Step 3: Cross multiply
    3,813.78x = 5,698.81 × 2,907.16
  4. Step 4: Simplify right side
    3,813.78x = 16,567,355.69
  5. Step 5: Solve for x
    x = 16,567,355.69/3,813.78
  6. Step 6: Final answer
    x = 4,344.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.