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Finding the Fourth Proportional to 2,643.67, 3,643.23 and 1,935.73

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Solution

The fourth proportional to 2,643.67, 3,643.23 and 1,935.73 is: 2,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.67 : 3,643.23 = 1,935.73 : x
  2. Step 2: Convert to fraction form
    2,643.67/3,643.23 = 1,935.73/x
  3. Step 3: Cross multiply
    2,643.67x = 3,643.23 × 1,935.73
  4. Step 4: Simplify right side
    2,643.67x = 7,052,307.76
  5. Step 5: Solve for x
    x = 7,052,307.76/2,643.67
  6. Step 6: Final answer
    x = 2,667.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.