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Finding the Fourth Proportional to 12,576, 18,853.20 and 4,779.36

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Solution

The fourth proportional to 12,576, 18,853.20 and 4,779.36 is: 7,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 18,853.20 = 4,779.36 : x
  2. Step 2: Convert to fraction form
    12,576/18,853.20 = 4,779.36/x
  3. Step 3: Cross multiply
    12,576x = 18,853.20 × 4,779.36
  4. Step 4: Simplify right side
    12,576x = 90,106,229.95
  5. Step 5: Solve for x
    x = 90,106,229.95/12,576
  6. Step 6: Final answer
    x = 7,164.94

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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.