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Finding the Fourth Proportional to 20,647.88, 30,971.07 and 5,856.74

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Solution

The fourth proportional to 20,647.88, 30,971.07 and 5,856.74 is: 8,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.88 : 30,971.07 = 5,856.74 : x
  2. Step 2: Convert to fraction form
    20,647.88/30,971.07 = 5,856.74/x
  3. Step 3: Cross multiply
    20,647.88x = 30,971.07 × 5,856.74
  4. Step 4: Simplify right side
    20,647.88x = 181,389,504.51
  5. Step 5: Solve for x
    x = 181,389,504.51/20,647.88
  6. Step 6: Final answer
    x = 8,784.90

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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.