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Finding the Fourth Proportional to 2,888.22, 3,986.19 and 1,842.78

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Solution

The fourth proportional to 2,888.22, 3,986.19 and 1,842.78 is: 2,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.22 : 3,986.19 = 1,842.78 : x
  2. Step 2: Convert to fraction form
    2,888.22/3,986.19 = 1,842.78/x
  3. Step 3: Cross multiply
    2,888.22x = 3,986.19 × 1,842.78
  4. Step 4: Simplify right side
    2,888.22x = 7,345,671.21
  5. Step 5: Solve for x
    x = 7,345,671.21/2,888.22
  6. Step 6: Final answer
    x = 2,543.32

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1.5x scale

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.