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Finding the Fourth Proportional to 2,784.06, 3,842.10 and 1,840.68

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Solution

The fourth proportional to 2,784.06, 3,842.10 and 1,840.68 is: 2,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.06 : 3,842.10 = 1,840.68 : x
  2. Step 2: Convert to fraction form
    2,784.06/3,842.10 = 1,840.68/x
  3. Step 3: Cross multiply
    2,784.06x = 3,842.10 × 1,840.68
  4. Step 4: Simplify right side
    2,784.06x = 7,072,076.63
  5. Step 5: Solve for x
    x = 7,072,076.63/2,784.06
  6. Step 6: Final answer
    x = 2,540.20

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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.