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Finding the Fourth Proportional to 6,651.69, 9,178.31 and 3,962.08

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Solution

The fourth proportional to 6,651.69, 9,178.31 and 3,962.08 is: 5,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.69 : 9,178.31 = 3,962.08 : x
  2. Step 2: Convert to fraction form
    6,651.69/9,178.31 = 3,962.08/x
  3. Step 3: Cross multiply
    6,651.69x = 9,178.31 × 3,962.08
  4. Step 4: Simplify right side
    6,651.69x = 36,365,219.86
  5. Step 5: Solve for x
    x = 36,365,219.86/6,651.69
  6. Step 6: Final answer
    x = 5,467.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.