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Finding the Fourth Proportional to 4,055.60, 6,078.60 and 2,106.80

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Solution

The fourth proportional to 4,055.60, 6,078.60 and 2,106.80 is: 3,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.60 : 6,078.60 = 2,106.80 : x
  2. Step 2: Convert to fraction form
    4,055.60/6,078.60 = 2,106.80/x
  3. Step 3: Cross multiply
    4,055.60x = 6,078.60 × 2,106.80
  4. Step 4: Simplify right side
    4,055.60x = 12,806,394.48
  5. Step 5: Solve for x
    x = 12,806,394.48/4,055.60
  6. Step 6: Final answer
    x = 3,157.71

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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.