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Finding the Fourth Proportional to 8,415.34, 12,623 and 3,971.54

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Solution

The fourth proportional to 8,415.34, 12,623 and 3,971.54 is: 5,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.34 : 12,623 = 3,971.54 : x
  2. Step 2: Convert to fraction form
    8,415.34/12,623 = 3,971.54/x
  3. Step 3: Cross multiply
    8,415.34x = 12,623 × 3,971.54
  4. Step 4: Simplify right side
    8,415.34x = 50,132,749.42
  5. Step 5: Solve for x
    x = 50,132,749.42/8,415.34
  6. Step 6: Final answer
    x = 5,957.31

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1.5x scale

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.