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Finding the Fourth Proportional to 14,443.13, 21,664.69 and 5,209.13

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Solution

The fourth proportional to 14,443.13, 21,664.69 and 5,209.13 is: 7,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.13 : 21,664.69 = 5,209.13 : x
  2. Step 2: Convert to fraction form
    14,443.13/21,664.69 = 5,209.13/x
  3. Step 3: Cross multiply
    14,443.13x = 21,664.69 × 5,209.13
  4. Step 4: Simplify right side
    14,443.13x = 112,854,186.62
  5. Step 5: Solve for x
    x = 112,854,186.62/14,443.13
  6. Step 6: Final answer
    x = 7,813.69

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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.