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Finding the Fourth Proportional to 3,544.56, 5,312.82 and 1,786.77

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Solution

The fourth proportional to 3,544.56, 5,312.82 and 1,786.77 is: 2,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.56 : 5,312.82 = 1,786.77 : x
  2. Step 2: Convert to fraction form
    3,544.56/5,312.82 = 1,786.77/x
  3. Step 3: Cross multiply
    3,544.56x = 5,312.82 × 1,786.77
  4. Step 4: Simplify right side
    3,544.56x = 9,492,787.39
  5. Step 5: Solve for x
    x = 9,492,787.39/3,544.56
  6. Step 6: Final answer
    x = 2,678.13

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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.