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Finding the Fourth Proportional to 12,057.93, 18,090 and 4,660.47

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Solution

The fourth proportional to 12,057.93, 18,090 and 4,660.47 is: 6,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.93 : 18,090 = 4,660.47 : x
  2. Step 2: Convert to fraction form
    12,057.93/18,090 = 4,660.47/x
  3. Step 3: Cross multiply
    12,057.93x = 18,090 × 4,660.47
  4. Step 4: Simplify right side
    12,057.93x = 84,307,902.30
  5. Step 5: Solve for x
    x = 84,307,902.30/12,057.93
  6. Step 6: Final answer
    x = 6,991.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.