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Finding the Fourth Proportional to 15,284, 21,127.22 and 12,751.34

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Solution

The fourth proportional to 15,284, 21,127.22 and 12,751.34 is: 17,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284 : 21,127.22 = 12,751.34 : x
  2. Step 2: Convert to fraction form
    15,284/21,127.22 = 12,751.34/x
  3. Step 3: Cross multiply
    15,284x = 21,127.22 × 12,751.34
  4. Step 4: Simplify right side
    15,284x = 269,400,365.47
  5. Step 5: Solve for x
    x = 269,400,365.47/15,284
  6. Step 6: Final answer
    x = 17,626.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.