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Finding the Fourth Proportional to 5,237.30, 7,856.05 and 4,192.45

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Solution

The fourth proportional to 5,237.30, 7,856.05 and 4,192.45 is: 6,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.30 : 7,856.05 = 4,192.45 : x
  2. Step 2: Convert to fraction form
    5,237.30/7,856.05 = 4,192.45/x
  3. Step 3: Cross multiply
    5,237.30x = 7,856.05 × 4,192.45
  4. Step 4: Simplify right side
    5,237.30x = 32,936,096.82
  5. Step 5: Solve for x
    x = 32,936,096.82/5,237.30
  6. Step 6: Final answer
    x = 6,288.76

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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.