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Finding the Fourth Proportional to 2,185.89, 3,275.19 and 951.45

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Solution

The fourth proportional to 2,185.89, 3,275.19 and 951.45 is: 1,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.89 : 3,275.19 = 951.45 : x
  2. Step 2: Convert to fraction form
    2,185.89/3,275.19 = 951.45/x
  3. Step 3: Cross multiply
    2,185.89x = 3,275.19 × 951.45
  4. Step 4: Simplify right side
    2,185.89x = 3,116,174.77
  5. Step 5: Solve for x
    x = 3,116,174.77/2,185.89
  6. Step 6: Final answer
    x = 1,425.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.