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Finding the Fourth Proportional to 2,108.91, 2,910.88 and 1,225

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Solution

The fourth proportional to 2,108.91, 2,910.88 and 1,225 is: 1,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.91 : 2,910.88 = 1,225 : x
  2. Step 2: Convert to fraction form
    2,108.91/2,910.88 = 1,225/x
  3. Step 3: Cross multiply
    2,108.91x = 2,910.88 × 1,225
  4. Step 4: Simplify right side
    2,108.91x = 3,565,828
  5. Step 5: Solve for x
    x = 3,565,828/2,108.91
  6. Step 6: Final answer
    x = 1,690.84

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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.