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Finding the Fourth Proportional to 14,431.16, 21,653.94 and 6,645.44

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Solution

The fourth proportional to 14,431.16, 21,653.94 and 6,645.44 is: 9,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.16 : 21,653.94 = 6,645.44 : x
  2. Step 2: Convert to fraction form
    14,431.16/21,653.94 = 6,645.44/x
  3. Step 3: Cross multiply
    14,431.16x = 21,653.94 × 6,645.44
  4. Step 4: Simplify right side
    14,431.16x = 143,899,959.03
  5. Step 5: Solve for x
    x = 143,899,959.03/14,431.16
  6. Step 6: Final answer
    x = 9,971.48

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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.