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Finding the Fourth Proportional to 14,430, 21,645 and 5,196

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Solution

The fourth proportional to 14,430, 21,645 and 5,196 is: 7,794

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430 : 21,645 = 5,196 : x
  2. Step 2: Convert to fraction form
    14,430/21,645 = 5,196/x
  3. Step 3: Cross multiply
    14,430x = 21,645 × 5,196
  4. Step 4: Simplify right side
    14,430x = 112,467,420
  5. Step 5: Solve for x
    x = 112,467,420/14,430
  6. Step 6: Final answer
    x = 7,794

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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.