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Finding the Fourth Proportional to 8,212, 12,323.04 and 4,319.20

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Solution

The fourth proportional to 8,212, 12,323.04 and 4,319.20 is: 6,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 12,323.04 = 4,319.20 : x
  2. Step 2: Convert to fraction form
    8,212/12,323.04 = 4,319.20/x
  3. Step 3: Cross multiply
    8,212x = 12,323.04 × 4,319.20
  4. Step 4: Simplify right side
    8,212x = 53,225,674.37
  5. Step 5: Solve for x
    x = 53,225,674.37/8,212
  6. Step 6: Final answer
    x = 6,481.45

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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.