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Finding the Fourth Proportional to 5,648, 8,471.88 and 2,527.28

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Solution

The fourth proportional to 5,648, 8,471.88 and 2,527.28 is: 3,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648 : 8,471.88 = 2,527.28 : x
  2. Step 2: Convert to fraction form
    5,648/8,471.88 = 2,527.28/x
  3. Step 3: Cross multiply
    5,648x = 8,471.88 × 2,527.28
  4. Step 4: Simplify right side
    5,648x = 21,410,812.89
  5. Step 5: Solve for x
    x = 21,410,812.89/5,648
  6. Step 6: Final answer
    x = 3,790.87

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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.