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Finding the Fourth Proportional to 8,352.80, 12,528.12 and 3,158

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Solution

The fourth proportional to 8,352.80, 12,528.12 and 3,158 is: 4,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.80 : 12,528.12 = 3,158 : x
  2. Step 2: Convert to fraction form
    8,352.80/12,528.12 = 3,158/x
  3. Step 3: Cross multiply
    8,352.80x = 12,528.12 × 3,158
  4. Step 4: Simplify right side
    8,352.80x = 39,563,802.96
  5. Step 5: Solve for x
    x = 39,563,802.96/8,352.80
  6. Step 6: Final answer
    x = 4,736.59

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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.