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Finding the Fourth Proportional to 6,138.76, 9,210.41 and 3,675.30

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Solution

The fourth proportional to 6,138.76, 9,210.41 and 3,675.30 is: 5,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.76 : 9,210.41 = 3,675.30 : x
  2. Step 2: Convert to fraction form
    6,138.76/9,210.41 = 3,675.30/x
  3. Step 3: Cross multiply
    6,138.76x = 9,210.41 × 3,675.30
  4. Step 4: Simplify right side
    6,138.76x = 33,851,019.87
  5. Step 5: Solve for x
    x = 33,851,019.87/6,138.76
  6. Step 6: Final answer
    x = 5,514.31

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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.