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Finding the Fourth Proportional to 11,485.20, 15,851.64 and 6,769.20

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Solution

The fourth proportional to 11,485.20, 15,851.64 and 6,769.20 is: 9,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.20 : 15,851.64 = 6,769.20 : x
  2. Step 2: Convert to fraction form
    11,485.20/15,851.64 = 6,769.20/x
  3. Step 3: Cross multiply
    11,485.20x = 15,851.64 × 6,769.20
  4. Step 4: Simplify right side
    11,485.20x = 107,302,921.49
  5. Step 5: Solve for x
    x = 107,302,921.49/11,485.20
  6. Step 6: Final answer
    x = 9,342.71

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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.