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Finding the Fourth Proportional to 6,420.78, 9,627 and 4,222.83

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Solution

The fourth proportional to 6,420.78, 9,627 and 4,222.83 is: 6,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.78 : 9,627 = 4,222.83 : x
  2. Step 2: Convert to fraction form
    6,420.78/9,627 = 4,222.83/x
  3. Step 3: Cross multiply
    6,420.78x = 9,627 × 4,222.83
  4. Step 4: Simplify right side
    6,420.78x = 40,653,184.41
  5. Step 5: Solve for x
    x = 40,653,184.41/6,420.78
  6. Step 6: Final answer
    x = 6,331.50

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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.