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Finding the Fourth Proportional to 2,866.94, 4,300.44 and 919.15

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Solution

The fourth proportional to 2,866.94, 4,300.44 and 919.15 is: 1,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.94 : 4,300.44 = 919.15 : x
  2. Step 2: Convert to fraction form
    2,866.94/4,300.44 = 919.15/x
  3. Step 3: Cross multiply
    2,866.94x = 4,300.44 × 919.15
  4. Step 4: Simplify right side
    2,866.94x = 3,952,740.40
  5. Step 5: Solve for x
    x = 3,952,740.40/2,866.94
  6. Step 6: Final answer
    x = 1,378.73

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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.