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Finding the Fourth Proportional to 38,415, 53,012.70 and 20,751

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Solution

The fourth proportional to 38,415, 53,012.70 and 20,751 is: 28,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415 : 53,012.70 = 20,751 : x
  2. Step 2: Convert to fraction form
    38,415/53,012.70 = 20,751/x
  3. Step 3: Cross multiply
    38,415x = 53,012.70 × 20,751
  4. Step 4: Simplify right side
    38,415x = 1,100,066,537.70
  5. Step 5: Solve for x
    x = 1,100,066,537.70/38,415
  6. Step 6: Final answer
    x = 28,636.38

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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.