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Finding the Fourth Proportional to 12,222.88, 16,856.40 and 10,338.40

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Solution

The fourth proportional to 12,222.88, 16,856.40 and 10,338.40 is: 14,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.88 : 16,856.40 = 10,338.40 : x
  2. Step 2: Convert to fraction form
    12,222.88/16,856.40 = 10,338.40/x
  3. Step 3: Cross multiply
    12,222.88x = 16,856.40 × 10,338.40
  4. Step 4: Simplify right side
    12,222.88x = 174,268,205.76
  5. Step 5: Solve for x
    x = 174,268,205.76/12,222.88
  6. Step 6: Final answer
    x = 14,257.54

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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.