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Finding the Fourth Proportional to 8,441, 12,661.68 and 2,894.32

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Solution

The fourth proportional to 8,441, 12,661.68 and 2,894.32 is: 4,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441 : 12,661.68 = 2,894.32 : x
  2. Step 2: Convert to fraction form
    8,441/12,661.68 = 2,894.32/x
  3. Step 3: Cross multiply
    8,441x = 12,661.68 × 2,894.32
  4. Step 4: Simplify right side
    8,441x = 36,646,953.66
  5. Step 5: Solve for x
    x = 36,646,953.66/8,441
  6. Step 6: Final answer
    x = 4,341.54

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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.