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Finding the Fourth Proportional to 8,362.86, 12,542.12 and 3,971.58

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Solution

The fourth proportional to 8,362.86, 12,542.12 and 3,971.58 is: 5,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.86 : 12,542.12 = 3,971.58 : x
  2. Step 2: Convert to fraction form
    8,362.86/12,542.12 = 3,971.58/x
  3. Step 3: Cross multiply
    8,362.86x = 12,542.12 × 3,971.58
  4. Step 4: Simplify right side
    8,362.86x = 49,812,032.95
  5. Step 5: Solve for x
    x = 49,812,032.95/8,362.86
  6. Step 6: Final answer
    x = 5,956.34

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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.