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Finding the Fourth Proportional to 1,852, 2,773.68 and 1,466.08

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Solution

The fourth proportional to 1,852, 2,773.68 and 1,466.08 is: 2,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852 : 2,773.68 = 1,466.08 : x
  2. Step 2: Convert to fraction form
    1,852/2,773.68 = 1,466.08/x
  3. Step 3: Cross multiply
    1,852x = 2,773.68 × 1,466.08
  4. Step 4: Simplify right side
    1,852x = 4,066,436.77
  5. Step 5: Solve for x
    x = 4,066,436.77/1,852
  6. Step 6: Final answer
    x = 2,195.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.