Home / 3,178.24-4,776-1,640.32

Finding the Fourth Proportional to 3,178.24, 4,776 and 1,640.32

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Solution

The fourth proportional to 3,178.24, 4,776 and 1,640.32 is: 2,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.24 : 4,776 = 1,640.32 : x
  2. Step 2: Convert to fraction form
    3,178.24/4,776 = 1,640.32/x
  3. Step 3: Cross multiply
    3,178.24x = 4,776 × 1,640.32
  4. Step 4: Simplify right side
    3,178.24x = 7,834,168.32
  5. Step 5: Solve for x
    x = 7,834,168.32/3,178.24
  6. Step 6: Final answer
    x = 2,464.94

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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.