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Finding the Fourth Proportional to 8,123.84, 12,178.08 and 2,648

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Solution

The fourth proportional to 8,123.84, 12,178.08 and 2,648 is: 3,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.84 : 12,178.08 = 2,648 : x
  2. Step 2: Convert to fraction form
    8,123.84/12,178.08 = 2,648/x
  3. Step 3: Cross multiply
    8,123.84x = 12,178.08 × 2,648
  4. Step 4: Simplify right side
    8,123.84x = 32,247,555.84
  5. Step 5: Solve for x
    x = 32,247,555.84/8,123.84
  6. Step 6: Final answer
    x = 3,969.50

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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.