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Finding the Fourth Proportional to 2,823.51, 3,896.18 and 2,235.51

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Solution

The fourth proportional to 2,823.51, 3,896.18 and 2,235.51 is: 3,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.51 : 3,896.18 = 2,235.51 : x
  2. Step 2: Convert to fraction form
    2,823.51/3,896.18 = 2,235.51/x
  3. Step 3: Cross multiply
    2,823.51x = 3,896.18 × 2,235.51
  4. Step 4: Simplify right side
    2,823.51x = 8,709,938.17
  5. Step 5: Solve for x
    x = 8,709,938.17/2,823.51
  6. Step 6: Final answer
    x = 3,084.79

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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.