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Finding the Fourth Proportional to 2,108.53, 2,910.43 and 1,409.91

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Solution

The fourth proportional to 2,108.53, 2,910.43 and 1,409.91 is: 1,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.53 : 2,910.43 = 1,409.91 : x
  2. Step 2: Convert to fraction form
    2,108.53/2,910.43 = 1,409.91/x
  3. Step 3: Cross multiply
    2,108.53x = 2,910.43 × 1,409.91
  4. Step 4: Simplify right side
    2,108.53x = 4,103,435.21
  5. Step 5: Solve for x
    x = 4,103,435.21/2,108.53
  6. Step 6: Final answer
    x = 1,946.11

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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.