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Finding the Fourth Proportional to 9,930.10, 14,907.30 and 5,491.30

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Solution

The fourth proportional to 9,930.10, 14,907.30 and 5,491.30 is: 8,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.10 : 14,907.30 = 5,491.30 : x
  2. Step 2: Convert to fraction form
    9,930.10/14,907.30 = 5,491.30/x
  3. Step 3: Cross multiply
    9,930.10x = 14,907.30 × 5,491.30
  4. Step 4: Simplify right side
    9,930.10x = 81,860,456.49
  5. Step 5: Solve for x
    x = 81,860,456.49/9,930.10
  6. Step 6: Final answer
    x = 8,243.67

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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.