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Finding the Fourth Proportional to 2,108.94, 2,910.87 and 1,224.63

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Solution

The fourth proportional to 2,108.94, 2,910.87 and 1,224.63 is: 1,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.94 : 2,910.87 = 1,224.63 : x
  2. Step 2: Convert to fraction form
    2,108.94/2,910.87 = 1,224.63/x
  3. Step 3: Cross multiply
    2,108.94x = 2,910.87 × 1,224.63
  4. Step 4: Simplify right side
    2,108.94x = 3,564,738.73
  5. Step 5: Solve for x
    x = 3,564,738.73/2,108.94
  6. Step 6: Final answer
    x = 1,690.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.