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Finding the Fourth Proportional to 1,827.91, 2,522.99 and 1,128.88

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Solution

The fourth proportional to 1,827.91, 2,522.99 and 1,128.88 is: 1,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.91 : 2,522.99 = 1,128.88 : x
  2. Step 2: Convert to fraction form
    1,827.91/2,522.99 = 1,128.88/x
  3. Step 3: Cross multiply
    1,827.91x = 2,522.99 × 1,128.88
  4. Step 4: Simplify right side
    1,827.91x = 2,848,152.95
  5. Step 5: Solve for x
    x = 2,848,152.95/1,827.91
  6. Step 6: Final answer
    x = 1,558.15

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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.