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Finding the Fourth Proportional to 9,146.81, 13,720.86 and 3,881.22

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Solution

The fourth proportional to 9,146.81, 13,720.86 and 3,881.22 is: 5,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.81 : 13,720.86 = 3,881.22 : x
  2. Step 2: Convert to fraction form
    9,146.81/13,720.86 = 3,881.22/x
  3. Step 3: Cross multiply
    9,146.81x = 13,720.86 × 3,881.22
  4. Step 4: Simplify right side
    9,146.81x = 53,253,676.25
  5. Step 5: Solve for x
    x = 53,253,676.25/9,146.81
  6. Step 6: Final answer
    x = 5,822.10

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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.