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Finding the Fourth Proportional to 7,078.68, 9,771.30 and 4,719.96

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Solution

The fourth proportional to 7,078.68, 9,771.30 and 4,719.96 is: 6,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.68 : 9,771.30 = 4,719.96 : x
  2. Step 2: Convert to fraction form
    7,078.68/9,771.30 = 4,719.96/x
  3. Step 3: Cross multiply
    7,078.68x = 9,771.30 × 4,719.96
  4. Step 4: Simplify right side
    7,078.68x = 46,120,145.15
  5. Step 5: Solve for x
    x = 46,120,145.15/7,078.68
  6. Step 6: Final answer
    x = 6,515.36

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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.