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Finding the Fourth Proportional to 12,650.20, 17,368.80 and 10,274.20

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Solution

The fourth proportional to 12,650.20, 17,368.80 and 10,274.20 is: 14,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.20 : 17,368.80 = 10,274.20 : x
  2. Step 2: Convert to fraction form
    12,650.20/17,368.80 = 10,274.20/x
  3. Step 3: Cross multiply
    12,650.20x = 17,368.80 × 10,274.20
  4. Step 4: Simplify right side
    12,650.20x = 178,450,524.96
  5. Step 5: Solve for x
    x = 178,450,524.96/12,650.20
  6. Step 6: Final answer
    x = 14,106.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.