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Finding the Fourth Proportional to 11,969.83, 16,516.05 and 7,720.06

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Solution

The fourth proportional to 11,969.83, 16,516.05 and 7,720.06 is: 10,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.83 : 16,516.05 = 7,720.06 : x
  2. Step 2: Convert to fraction form
    11,969.83/16,516.05 = 7,720.06/x
  3. Step 3: Cross multiply
    11,969.83x = 16,516.05 × 7,720.06
  4. Step 4: Simplify right side
    11,969.83x = 127,504,901.12
  5. Step 5: Solve for x
    x = 127,504,901.12/11,969.83
  6. Step 6: Final answer
    x = 10,652.19

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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.