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Finding the Fourth Proportional to 6,078.85, 9,119.18 and 1,918.42

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Solution

The fourth proportional to 6,078.85, 9,119.18 and 1,918.42 is: 2,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.85 : 9,119.18 = 1,918.42 : x
  2. Step 2: Convert to fraction form
    6,078.85/9,119.18 = 1,918.42/x
  3. Step 3: Cross multiply
    6,078.85x = 9,119.18 × 1,918.42
  4. Step 4: Simplify right side
    6,078.85x = 17,494,417.30
  5. Step 5: Solve for x
    x = 17,494,417.30/6,078.85
  6. Step 6: Final answer
    x = 2,877.92

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1.5x scale

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.