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Finding the Fourth Proportional to 12,978.40, 19,472.40 and 4,213.60

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Solution

The fourth proportional to 12,978.40, 19,472.40 and 4,213.60 is: 6,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978.40 : 19,472.40 = 4,213.60 : x
  2. Step 2: Convert to fraction form
    12,978.40/19,472.40 = 4,213.60/x
  3. Step 3: Cross multiply
    12,978.40x = 19,472.40 × 4,213.60
  4. Step 4: Simplify right side
    12,978.40x = 82,048,904.64
  5. Step 5: Solve for x
    x = 82,048,904.64/12,978.40
  6. Step 6: Final answer
    x = 6,321.96

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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.