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Finding the Fourth Proportional to 5,852.56, 8,764.62 and 3,216.04

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Solution

The fourth proportional to 5,852.56, 8,764.62 and 3,216.04 is: 4,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.56 : 8,764.62 = 3,216.04 : x
  2. Step 2: Convert to fraction form
    5,852.56/8,764.62 = 3,216.04/x
  3. Step 3: Cross multiply
    5,852.56x = 8,764.62 × 3,216.04
  4. Step 4: Simplify right side
    5,852.56x = 28,187,368.50
  5. Step 5: Solve for x
    x = 28,187,368.50/5,852.56
  6. Step 6: Final answer
    x = 4,816.25

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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.