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Finding the Fourth Proportional to 3,178.36, 4,767.54 and 986.50

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Solution

The fourth proportional to 3,178.36, 4,767.54 and 986.50 is: 1,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.36 : 4,767.54 = 986.50 : x
  2. Step 2: Convert to fraction form
    3,178.36/4,767.54 = 986.50/x
  3. Step 3: Cross multiply
    3,178.36x = 4,767.54 × 986.50
  4. Step 4: Simplify right side
    3,178.36x = 4,703,178.21
  5. Step 5: Solve for x
    x = 4,703,178.21/3,178.36
  6. Step 6: Final answer
    x = 1,479.75

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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.