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Finding the Fourth Proportional to 11,969.47, 16,518.14 and 6,664.78

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Solution

The fourth proportional to 11,969.47, 16,518.14 and 6,664.78 is: 9,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.47 : 16,518.14 = 6,664.78 : x
  2. Step 2: Convert to fraction form
    11,969.47/16,518.14 = 6,664.78/x
  3. Step 3: Cross multiply
    11,969.47x = 16,518.14 × 6,664.78
  4. Step 4: Simplify right side
    11,969.47x = 110,089,769.11
  5. Step 5: Solve for x
    x = 110,089,769.11/11,969.47
  6. Step 6: Final answer
    x = 9,197.55

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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.