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Finding the Fourth Proportional to 1,520.98, 2,099.10 and 857.95

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Solution

The fourth proportional to 1,520.98, 2,099.10 and 857.95 is: 1,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.98 : 2,099.10 = 857.95 : x
  2. Step 2: Convert to fraction form
    1,520.98/2,099.10 = 857.95/x
  3. Step 3: Cross multiply
    1,520.98x = 2,099.10 × 857.95
  4. Step 4: Simplify right side
    1,520.98x = 1,800,922.85
  5. Step 5: Solve for x
    x = 1,800,922.85/1,520.98
  6. Step 6: Final answer
    x = 1,184.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.