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Finding the Fourth Proportional to 2,999.79, 4,497.95 and 919.23

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Solution

The fourth proportional to 2,999.79, 4,497.95 and 919.23 is: 1,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.79 : 4,497.95 = 919.23 : x
  2. Step 2: Convert to fraction form
    2,999.79/4,497.95 = 919.23/x
  3. Step 3: Cross multiply
    2,999.79x = 4,497.95 × 919.23
  4. Step 4: Simplify right side
    2,999.79x = 4,134,645.98
  5. Step 5: Solve for x
    x = 4,134,645.98/2,999.79
  6. Step 6: Final answer
    x = 1,378.31

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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.