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Finding the Fourth Proportional to 2,089.86, 2,883.76 and 1,205.94

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Solution

The fourth proportional to 2,089.86, 2,883.76 and 1,205.94 is: 1,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.86 : 2,883.76 = 1,205.94 : x
  2. Step 2: Convert to fraction form
    2,089.86/2,883.76 = 1,205.94/x
  3. Step 3: Cross multiply
    2,089.86x = 2,883.76 × 1,205.94
  4. Step 4: Simplify right side
    2,089.86x = 3,477,641.53
  5. Step 5: Solve for x
    x = 3,477,641.53/2,089.86
  6. Step 6: Final answer
    x = 1,664.05

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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.