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Finding the Fourth Proportional to 2,842.02, 4,255.86 and 1,798.86

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Solution

The fourth proportional to 2,842.02, 4,255.86 and 1,798.86 is: 2,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.02 : 4,255.86 = 1,798.86 : x
  2. Step 2: Convert to fraction form
    2,842.02/4,255.86 = 1,798.86/x
  3. Step 3: Cross multiply
    2,842.02x = 4,255.86 × 1,798.86
  4. Step 4: Simplify right side
    2,842.02x = 7,655,696.32
  5. Step 5: Solve for x
    x = 7,655,696.32/2,842.02
  6. Step 6: Final answer
    x = 2,693.75

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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.