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Finding the Fourth Proportional to 2,047.68, 2,823.56 and 1,383.38

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Solution

The fourth proportional to 2,047.68, 2,823.56 and 1,383.38 is: 1,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.68 : 2,823.56 = 1,383.38 : x
  2. Step 2: Convert to fraction form
    2,047.68/2,823.56 = 1,383.38/x
  3. Step 3: Cross multiply
    2,047.68x = 2,823.56 × 1,383.38
  4. Step 4: Simplify right side
    2,047.68x = 3,906,038.86
  5. Step 5: Solve for x
    x = 3,906,038.86/2,047.68
  6. Step 6: Final answer
    x = 1,907.55

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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.