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Finding the Fourth Proportional to 8,184.84, 12,277.70 and 2,637.78

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Solution

The fourth proportional to 8,184.84, 12,277.70 and 2,637.78 is: 3,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.84 : 12,277.70 = 2,637.78 : x
  2. Step 2: Convert to fraction form
    8,184.84/12,277.70 = 2,637.78/x
  3. Step 3: Cross multiply
    8,184.84x = 12,277.70 × 2,637.78
  4. Step 4: Simplify right side
    8,184.84x = 32,385,871.51
  5. Step 5: Solve for x
    x = 32,385,871.51/8,184.84
  6. Step 6: Final answer
    x = 3,956.81

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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.