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Finding the Fourth Proportional to 12,852, 19,266.96 and 6,611.76

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Solution

The fourth proportional to 12,852, 19,266.96 and 6,611.76 is: 9,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852 : 19,266.96 = 6,611.76 : x
  2. Step 2: Convert to fraction form
    12,852/19,266.96 = 6,611.76/x
  3. Step 3: Cross multiply
    12,852x = 19,266.96 × 6,611.76
  4. Step 4: Simplify right side
    12,852x = 127,388,515.45
  5. Step 5: Solve for x
    x = 127,388,515.45/12,852
  6. Step 6: Final answer
    x = 9,911.96

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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.