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Finding the Fourth Proportional to 5,215.86, 7,824.99 and 1,706.03

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Solution

The fourth proportional to 5,215.86, 7,824.99 and 1,706.03 is: 2,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.86 : 7,824.99 = 1,706.03 : x
  2. Step 2: Convert to fraction form
    5,215.86/7,824.99 = 1,706.03/x
  3. Step 3: Cross multiply
    5,215.86x = 7,824.99 × 1,706.03
  4. Step 4: Simplify right side
    5,215.86x = 13,349,628.56
  5. Step 5: Solve for x
    x = 13,349,628.56/5,215.86
  6. Step 6: Final answer
    x = 2,559.43

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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.