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Finding the Fourth Proportional to 13,271.14, 19,893.42 and 8,531.02

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Solution

The fourth proportional to 13,271.14, 19,893.42 and 8,531.02 is: 12,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.14 : 19,893.42 = 8,531.02 : x
  2. Step 2: Convert to fraction form
    13,271.14/19,893.42 = 8,531.02/x
  3. Step 3: Cross multiply
    13,271.14x = 19,893.42 × 8,531.02
  4. Step 4: Simplify right side
    13,271.14x = 169,711,163.89
  5. Step 5: Solve for x
    x = 169,711,163.89/13,271.14
  6. Step 6: Final answer
    x = 12,787.99

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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.