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Finding the Fourth Proportional to 12,274.40, 16,940.04 and 8,303.60

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Solution

The fourth proportional to 12,274.40, 16,940.04 and 8,303.60 is: 11,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.40 : 16,940.04 = 8,303.60 : x
  2. Step 2: Convert to fraction form
    12,274.40/16,940.04 = 8,303.60/x
  3. Step 3: Cross multiply
    12,274.40x = 16,940.04 × 8,303.60
  4. Step 4: Simplify right side
    12,274.40x = 140,663,316.14
  5. Step 5: Solve for x
    x = 140,663,316.14/12,274.40
  6. Step 6: Final answer
    x = 11,459.89

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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.