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Finding the Fourth Proportional to 2,951.00, 4,071.85 and 1,772.09

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Solution

The fourth proportional to 2,951.00, 4,071.85 and 1,772.09 is: 2,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.00 : 4,071.85 = 1,772.09 : x
  2. Step 2: Convert to fraction form
    2,951.00/4,071.85 = 1,772.09/x
  3. Step 3: Cross multiply
    2,951.00x = 4,071.85 × 1,772.09
  4. Step 4: Simplify right side
    2,951.00x = 7,215,675.15
  5. Step 5: Solve for x
    x = 7,215,675.15/2,951.00
  6. Step 6: Final answer
    x = 2,445.16

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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.