Home / 2,830.31-4,238.47-1,657.23

Finding the Fourth Proportional to 2,830.31, 4,238.47 and 1,657.23

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Solution

The fourth proportional to 2,830.31, 4,238.47 and 1,657.23 is: 2,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.31 : 4,238.47 = 1,657.23 : x
  2. Step 2: Convert to fraction form
    2,830.31/4,238.47 = 1,657.23/x
  3. Step 3: Cross multiply
    2,830.31x = 4,238.47 × 1,657.23
  4. Step 4: Simplify right side
    2,830.31x = 7,024,119.64
  5. Step 5: Solve for x
    x = 7,024,119.64/2,830.31
  6. Step 6: Final answer
    x = 2,481.75

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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.