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Finding the Fourth Proportional to 20,703.61, 31,035.16 and 8,219.49

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Solution

The fourth proportional to 20,703.61, 31,035.16 and 8,219.49 is: 12,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.61 : 31,035.16 = 8,219.49 : x
  2. Step 2: Convert to fraction form
    20,703.61/31,035.16 = 8,219.49/x
  3. Step 3: Cross multiply
    20,703.61x = 31,035.16 × 8,219.49
  4. Step 4: Simplify right side
    20,703.61x = 255,093,187.27
  5. Step 5: Solve for x
    x = 255,093,187.27/20,703.61
  6. Step 6: Final answer
    x = 12,321.19

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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.