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Finding the Fourth Proportional to 5,471.79, 8,206.49 and 1,575.35

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Solution

The fourth proportional to 5,471.79, 8,206.49 and 1,575.35 is: 2,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.79 : 8,206.49 = 1,575.35 : x
  2. Step 2: Convert to fraction form
    5,471.79/8,206.49 = 1,575.35/x
  3. Step 3: Cross multiply
    5,471.79x = 8,206.49 × 1,575.35
  4. Step 4: Simplify right side
    5,471.79x = 12,928,086.14
  5. Step 5: Solve for x
    x = 12,928,086.14/5,471.79
  6. Step 6: Final answer
    x = 2,362.68

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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.