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Finding the Fourth Proportional to 1,629.72, 2,248.16 and 1,186.65

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Solution

The fourth proportional to 1,629.72, 2,248.16 and 1,186.65 is: 1,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.72 : 2,248.16 = 1,186.65 : x
  2. Step 2: Convert to fraction form
    1,629.72/2,248.16 = 1,186.65/x
  3. Step 3: Cross multiply
    1,629.72x = 2,248.16 × 1,186.65
  4. Step 4: Simplify right side
    1,629.72x = 2,667,773.13
  5. Step 5: Solve for x
    x = 2,667,773.13/1,629.72
  6. Step 6: Final answer
    x = 1,636.95

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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.