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Finding the Fourth Proportional to 15,469.63, 21,353.63 and 9,182

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Solution

The fourth proportional to 15,469.63, 21,353.63 and 9,182 is: 12,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,469.63 : 21,353.63 = 9,182 : x
  2. Step 2: Convert to fraction form
    15,469.63/21,353.63 = 9,182/x
  3. Step 3: Cross multiply
    15,469.63x = 21,353.63 × 9,182
  4. Step 4: Simplify right side
    15,469.63x = 196,068,984.75
  5. Step 5: Solve for x
    x = 196,068,984.75/15,469.63
  6. Step 6: Final answer
    x = 12,674.45

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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.