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Finding the Fourth Proportional to 2,840.64, 4,256.64 and 2,106.78

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Solution

The fourth proportional to 2,840.64, 4,256.64 and 2,106.78 is: 3,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.64 : 4,256.64 = 2,106.78 : x
  2. Step 2: Convert to fraction form
    2,840.64/4,256.64 = 2,106.78/x
  3. Step 3: Cross multiply
    2,840.64x = 4,256.64 × 2,106.78
  4. Step 4: Simplify right side
    2,840.64x = 8,967,804.02
  5. Step 5: Solve for x
    x = 8,967,804.02/2,840.64
  6. Step 6: Final answer
    x = 3,156.97

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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.