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Finding the Fourth Proportional to 8,092.32, 12,139.56 and 2,897.52

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Solution

The fourth proportional to 8,092.32, 12,139.56 and 2,897.52 is: 4,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.32 : 12,139.56 = 2,897.52 : x
  2. Step 2: Convert to fraction form
    8,092.32/12,139.56 = 2,897.52/x
  3. Step 3: Cross multiply
    8,092.32x = 12,139.56 × 2,897.52
  4. Step 4: Simplify right side
    8,092.32x = 35,174,617.89
  5. Step 5: Solve for x
    x = 35,174,617.89/8,092.32
  6. Step 6: Final answer
    x = 4,346.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.