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Finding the Fourth Proportional to 2,833, 4,251.42 and 1,708.20

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Solution

The fourth proportional to 2,833, 4,251.42 and 1,708.20 is: 2,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833 : 4,251.42 = 1,708.20 : x
  2. Step 2: Convert to fraction form
    2,833/4,251.42 = 1,708.20/x
  3. Step 3: Cross multiply
    2,833x = 4,251.42 × 1,708.20
  4. Step 4: Simplify right side
    2,833x = 7,262,275.64
  5. Step 5: Solve for x
    x = 7,262,275.64/2,833
  6. Step 6: Final answer
    x = 2,563.46

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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.