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Finding the Fourth Proportional to 8,185, 12,276.24 and 2,341.84

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Solution

The fourth proportional to 8,185, 12,276.24 and 2,341.84 is: 3,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185 : 12,276.24 = 2,341.84 : x
  2. Step 2: Convert to fraction form
    8,185/12,276.24 = 2,341.84/x
  3. Step 3: Cross multiply
    8,185x = 12,276.24 × 2,341.84
  4. Step 4: Simplify right side
    8,185x = 28,748,989.88
  5. Step 5: Solve for x
    x = 28,748,989.88/8,185
  6. Step 6: Final answer
    x = 3,512.40

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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.