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Finding the Fourth Proportional to 1,908.72, 2,852.01 and 1,461.52

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Solution

The fourth proportional to 1,908.72, 2,852.01 and 1,461.52 is: 2,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.72 : 2,852.01 = 1,461.52 : x
  2. Step 2: Convert to fraction form
    1,908.72/2,852.01 = 1,461.52/x
  3. Step 3: Cross multiply
    1,908.72x = 2,852.01 × 1,461.52
  4. Step 4: Simplify right side
    1,908.72x = 4,168,269.66
  5. Step 5: Solve for x
    x = 4,168,269.66/1,908.72
  6. Step 6: Final answer
    x = 2,183.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.