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Finding the Fourth Proportional to 13,648.18, 20,471.09 and 8,309.98

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Solution

The fourth proportional to 13,648.18, 20,471.09 and 8,309.98 is: 12,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.18 : 20,471.09 = 8,309.98 : x
  2. Step 2: Convert to fraction form
    13,648.18/20,471.09 = 8,309.98/x
  3. Step 3: Cross multiply
    13,648.18x = 20,471.09 × 8,309.98
  4. Step 4: Simplify right side
    13,648.18x = 170,114,348.48
  5. Step 5: Solve for x
    x = 170,114,348.48/13,648.18
  6. Step 6: Final answer
    x = 12,464.25

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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.