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Finding the Fourth Proportional to 7,092.14, 10,638.20 and 1,897.88

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Solution

The fourth proportional to 7,092.14, 10,638.20 and 1,897.88 is: 2,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.14 : 10,638.20 = 1,897.88 : x
  2. Step 2: Convert to fraction form
    7,092.14/10,638.20 = 1,897.88/x
  3. Step 3: Cross multiply
    7,092.14x = 10,638.20 × 1,897.88
  4. Step 4: Simplify right side
    7,092.14x = 20,189,978.57
  5. Step 5: Solve for x
    x = 20,189,978.57/7,092.14
  6. Step 6: Final answer
    x = 2,846.81

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1.5x scale

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.