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Finding the Fourth Proportional to 6,102.78, 9,154.11 and 1,485.78

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Solution

The fourth proportional to 6,102.78, 9,154.11 and 1,485.78 is: 2,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.78 : 9,154.11 = 1,485.78 : x
  2. Step 2: Convert to fraction form
    6,102.78/9,154.11 = 1,485.78/x
  3. Step 3: Cross multiply
    6,102.78x = 9,154.11 × 1,485.78
  4. Step 4: Simplify right side
    6,102.78x = 13,600,993.56
  5. Step 5: Solve for x
    x = 13,600,993.56/6,102.78
  6. Step 6: Final answer
    x = 2,228.66

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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.