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Finding the Fourth Proportional to 1,935.12, 2,902.16 and 839.23

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Solution

The fourth proportional to 1,935.12, 2,902.16 and 839.23 is: 1,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.12 : 2,902.16 = 839.23 : x
  2. Step 2: Convert to fraction form
    1,935.12/2,902.16 = 839.23/x
  3. Step 3: Cross multiply
    1,935.12x = 2,902.16 × 839.23
  4. Step 4: Simplify right side
    1,935.12x = 2,435,574.58
  5. Step 5: Solve for x
    x = 2,435,574.58/1,935.12
  6. Step 6: Final answer
    x = 1,258.62

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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.