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Finding the Fourth Proportional to 3,109.61, 4,664.21 and 919.77

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Solution

The fourth proportional to 3,109.61, 4,664.21 and 919.77 is: 1,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.61 : 4,664.21 = 919.77 : x
  2. Step 2: Convert to fraction form
    3,109.61/4,664.21 = 919.77/x
  3. Step 3: Cross multiply
    3,109.61x = 4,664.21 × 919.77
  4. Step 4: Simplify right side
    3,109.61x = 4,289,995.83
  5. Step 5: Solve for x
    x = 4,289,995.83/3,109.61
  6. Step 6: Final answer
    x = 1,379.60

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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.