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Finding the Fourth Proportional to 4,448, 6,672.16 and 1,674.40

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Solution

The fourth proportional to 4,448, 6,672.16 and 1,674.40 is: 2,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448 : 6,672.16 = 1,674.40 : x
  2. Step 2: Convert to fraction form
    4,448/6,672.16 = 1,674.40/x
  3. Step 3: Cross multiply
    4,448x = 6,672.16 × 1,674.40
  4. Step 4: Simplify right side
    4,448x = 11,171,864.70
  5. Step 5: Solve for x
    x = 11,171,864.70/4,448
  6. Step 6: Final answer
    x = 2,511.66

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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.