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Finding the Fourth Proportional to 6,170.78, 9,234.63 and 5,047.21

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Solution

The fourth proportional to 6,170.78, 9,234.63 and 5,047.21 is: 7,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.78 : 9,234.63 = 5,047.21 : x
  2. Step 2: Convert to fraction form
    6,170.78/9,234.63 = 5,047.21/x
  3. Step 3: Cross multiply
    6,170.78x = 9,234.63 × 5,047.21
  4. Step 4: Simplify right side
    6,170.78x = 46,609,106.41
  5. Step 5: Solve for x
    x = 46,609,106.41/6,170.78
  6. Step 6: Final answer
    x = 7,553.20

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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.