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Finding the Fourth Proportional to 11,920.32, 16,450.38 and 6,543

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Solution

The fourth proportional to 11,920.32, 16,450.38 and 6,543 is: 9,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.32 : 16,450.38 = 6,543 : x
  2. Step 2: Convert to fraction form
    11,920.32/16,450.38 = 6,543/x
  3. Step 3: Cross multiply
    11,920.32x = 16,450.38 × 6,543
  4. Step 4: Simplify right side
    11,920.32x = 107,634,836.34
  5. Step 5: Solve for x
    x = 107,634,836.34/11,920.32
  6. Step 6: Final answer
    x = 9,029.53

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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.