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Finding the Fourth Proportional to 14,415.36, 21,609.28 and 5,647.36

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Solution

The fourth proportional to 14,415.36, 21,609.28 and 5,647.36 is: 8,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.36 : 21,609.28 = 5,647.36 : x
  2. Step 2: Convert to fraction form
    14,415.36/21,609.28 = 5,647.36/x
  3. Step 3: Cross multiply
    14,415.36x = 21,609.28 × 5,647.36
  4. Step 4: Simplify right side
    14,415.36x = 122,035,383.50
  5. Step 5: Solve for x
    x = 122,035,383.50/14,415.36
  6. Step 6: Final answer
    x = 8,465.65

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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.