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Finding the Fourth Proportional to 1,951.98, 2,928.82 and 719.10

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Solution

The fourth proportional to 1,951.98, 2,928.82 and 719.10 is: 1,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.98 : 2,928.82 = 719.10 : x
  2. Step 2: Convert to fraction form
    1,951.98/2,928.82 = 719.10/x
  3. Step 3: Cross multiply
    1,951.98x = 2,928.82 × 719.10
  4. Step 4: Simplify right side
    1,951.98x = 2,106,114.46
  5. Step 5: Solve for x
    x = 2,106,114.46/1,951.98
  6. Step 6: Final answer
    x = 1,078.96

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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.