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Finding the Fourth Proportional to 13,461.64, 18,576.42 and 8,156.12

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Solution

The fourth proportional to 13,461.64, 18,576.42 and 8,156.12 is: 11,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.64 : 18,576.42 = 8,156.12 : x
  2. Step 2: Convert to fraction form
    13,461.64/18,576.42 = 8,156.12/x
  3. Step 3: Cross multiply
    13,461.64x = 18,576.42 × 8,156.12
  4. Step 4: Simplify right side
    13,461.64x = 151,511,510.69
  5. Step 5: Solve for x
    x = 151,511,510.69/13,461.64
  6. Step 6: Final answer
    x = 11,255.06

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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.