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Finding the Fourth Proportional to 8,370.75, 12,547.36 and 2,822.19

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Solution

The fourth proportional to 8,370.75, 12,547.36 and 2,822.19 is: 4,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.75 : 12,547.36 = 2,822.19 : x
  2. Step 2: Convert to fraction form
    8,370.75/12,547.36 = 2,822.19/x
  3. Step 3: Cross multiply
    8,370.75x = 12,547.36 × 2,822.19
  4. Step 4: Simplify right side
    8,370.75x = 35,410,990.39
  5. Step 5: Solve for x
    x = 35,410,990.39/8,370.75
  6. Step 6: Final answer
    x = 4,230.32

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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.