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Finding the Fourth Proportional to 3,108.81, 4,663.17 and 919.02

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Solution

The fourth proportional to 3,108.81, 4,663.17 and 919.02 is: 1,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.81 : 4,663.17 = 919.02 : x
  2. Step 2: Convert to fraction form
    3,108.81/4,663.17 = 919.02/x
  3. Step 3: Cross multiply
    3,108.81x = 4,663.17 × 919.02
  4. Step 4: Simplify right side
    3,108.81x = 4,285,546.49
  5. Step 5: Solve for x
    x = 4,285,546.49/3,108.81
  6. Step 6: Final answer
    x = 1,378.52

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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.