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Finding the Fourth Proportional to 13,953.98, 20,932.82 and 5,187.76

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Solution

The fourth proportional to 13,953.98, 20,932.82 and 5,187.76 is: 7,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.98 : 20,932.82 = 5,187.76 : x
  2. Step 2: Convert to fraction form
    13,953.98/20,932.82 = 5,187.76/x
  3. Step 3: Cross multiply
    13,953.98x = 20,932.82 × 5,187.76
  4. Step 4: Simplify right side
    13,953.98x = 108,594,446.28
  5. Step 5: Solve for x
    x = 108,594,446.28/13,953.98
  6. Step 6: Final answer
    x = 7,782.33

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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.