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Finding the Fourth Proportional to 4,052, 6,078.80 and 1,279.08

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Solution

The fourth proportional to 4,052, 6,078.80 and 1,279.08 is: 1,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052 : 6,078.80 = 1,279.08 : x
  2. Step 2: Convert to fraction form
    4,052/6,078.80 = 1,279.08/x
  3. Step 3: Cross multiply
    4,052x = 6,078.80 × 1,279.08
  4. Step 4: Simplify right side
    4,052x = 7,775,271.50
  5. Step 5: Solve for x
    x = 7,775,271.50/4,052
  6. Step 6: Final answer
    x = 1,918.87

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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.