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Finding the Fourth Proportional to 6,390.50, 9,576.83 and 4,829.22

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Solution

The fourth proportional to 6,390.50, 9,576.83 and 4,829.22 is: 7,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.50 : 9,576.83 = 4,829.22 : x
  2. Step 2: Convert to fraction form
    6,390.50/9,576.83 = 4,829.22/x
  3. Step 3: Cross multiply
    6,390.50x = 9,576.83 × 4,829.22
  4. Step 4: Simplify right side
    6,390.50x = 46,248,631.05
  5. Step 5: Solve for x
    x = 46,248,631.05/6,390.50
  6. Step 6: Final answer
    x = 7,237.10

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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.