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Finding the Fourth Proportional to 7,092, 10,638 and 1,897.76

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Solution

The fourth proportional to 7,092, 10,638 and 1,897.76 is: 2,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092 : 10,638 = 1,897.76 : x
  2. Step 2: Convert to fraction form
    7,092/10,638 = 1,897.76/x
  3. Step 3: Cross multiply
    7,092x = 10,638 × 1,897.76
  4. Step 4: Simplify right side
    7,092x = 20,188,370.88
  5. Step 5: Solve for x
    x = 20,188,370.88/7,092
  6. Step 6: Final answer
    x = 2,846.64

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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.