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Finding the Fourth Proportional to 14,647.40, 20,213.24 and 7,932.90

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Solution

The fourth proportional to 14,647.40, 20,213.24 and 7,932.90 is: 10,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.40 : 20,213.24 = 7,932.90 : x
  2. Step 2: Convert to fraction form
    14,647.40/20,213.24 = 7,932.90/x
  3. Step 3: Cross multiply
    14,647.40x = 20,213.24 × 7,932.90
  4. Step 4: Simplify right side
    14,647.40x = 160,349,611.60
  5. Step 5: Solve for x
    x = 160,349,611.60/14,647.40
  6. Step 6: Final answer
    x = 10,947.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.