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Finding the Fourth Proportional to 13,092, 19,638.18 and 7,260

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Solution

The fourth proportional to 13,092, 19,638.18 and 7,260 is: 10,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092 : 19,638.18 = 7,260 : x
  2. Step 2: Convert to fraction form
    13,092/19,638.18 = 7,260/x
  3. Step 3: Cross multiply
    13,092x = 19,638.18 × 7,260
  4. Step 4: Simplify right side
    13,092x = 142,573,186.80
  5. Step 5: Solve for x
    x = 142,573,186.80/13,092
  6. Step 6: Final answer
    x = 10,890.10

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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.