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Finding the Fourth Proportional to 8,267.84, 12,402 and 2,111.84

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Solution

The fourth proportional to 8,267.84, 12,402 and 2,111.84 is: 3,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.84 : 12,402 = 2,111.84 : x
  2. Step 2: Convert to fraction form
    8,267.84/12,402 = 2,111.84/x
  3. Step 3: Cross multiply
    8,267.84x = 12,402 × 2,111.84
  4. Step 4: Simplify right side
    8,267.84x = 26,191,039.68
  5. Step 5: Solve for x
    x = 26,191,039.68/8,267.84
  6. Step 6: Final answer
    x = 3,167.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.