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Finding the Fourth Proportional to 12,653.01, 18,980.12 and 3,888

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Solution

The fourth proportional to 12,653.01, 18,980.12 and 3,888 is: 5,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.01 : 18,980.12 = 3,888 : x
  2. Step 2: Convert to fraction form
    12,653.01/18,980.12 = 3,888/x
  3. Step 3: Cross multiply
    12,653.01x = 18,980.12 × 3,888
  4. Step 4: Simplify right side
    12,653.01x = 73,794,716.28
  5. Step 5: Solve for x
    x = 73,794,716.28/12,653.01
  6. Step 6: Final answer
    x = 5,832.19

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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.