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Finding the Fourth Proportional to 5,330.10, 7,978.42 and 4,396.98

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Solution

The fourth proportional to 5,330.10, 7,978.42 and 4,396.98 is: 6,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.10 : 7,978.42 = 4,396.98 : x
  2. Step 2: Convert to fraction form
    5,330.10/7,978.42 = 4,396.98/x
  3. Step 3: Cross multiply
    5,330.10x = 7,978.42 × 4,396.98
  4. Step 4: Simplify right side
    5,330.10x = 35,080,963.85
  5. Step 5: Solve for x
    x = 35,080,963.85/5,330.10
  6. Step 6: Final answer
    x = 6,581.67

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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.