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Finding the Fourth Proportional to 12,852, 19,270.62 and 5,056.56

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Solution

The fourth proportional to 12,852, 19,270.62 and 5,056.56 is: 7,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852 : 19,270.62 = 5,056.56 : x
  2. Step 2: Convert to fraction form
    12,852/19,270.62 = 5,056.56/x
  3. Step 3: Cross multiply
    12,852x = 19,270.62 × 5,056.56
  4. Step 4: Simplify right side
    12,852x = 97,443,046.27
  5. Step 5: Solve for x
    x = 97,443,046.27/12,852
  6. Step 6: Final answer
    x = 7,581.94

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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.