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Finding the Fourth Proportional to 2,737.81, 4,106.71 and 889.11

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Solution

The fourth proportional to 2,737.81, 4,106.71 and 889.11 is: 1,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.81 : 4,106.71 = 889.11 : x
  2. Step 2: Convert to fraction form
    2,737.81/4,106.71 = 889.11/x
  3. Step 3: Cross multiply
    2,737.81x = 4,106.71 × 889.11
  4. Step 4: Simplify right side
    2,737.81x = 3,651,316.93
  5. Step 5: Solve for x
    x = 3,651,316.93/2,737.81
  6. Step 6: Final answer
    x = 1,333.66

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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.