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Finding the Fourth Proportional to 10,668.40, 16,009.80 and 6,961.60

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Solution

The fourth proportional to 10,668.40, 16,009.80 and 6,961.60 is: 10,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.40 : 16,009.80 = 6,961.60 : x
  2. Step 2: Convert to fraction form
    10,668.40/16,009.80 = 6,961.60/x
  3. Step 3: Cross multiply
    10,668.40x = 16,009.80 × 6,961.60
  4. Step 4: Simplify right side
    10,668.40x = 111,453,823.68
  5. Step 5: Solve for x
    x = 111,453,823.68/10,668.40
  6. Step 6: Final answer
    x = 10,447.10

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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.