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Finding the Fourth Proportional to 6,451.25, 8,904.63 and 4,213.47

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Solution

The fourth proportional to 6,451.25, 8,904.63 and 4,213.47 is: 5,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.25 : 8,904.63 = 4,213.47 : x
  2. Step 2: Convert to fraction form
    6,451.25/8,904.63 = 4,213.47/x
  3. Step 3: Cross multiply
    6,451.25x = 8,904.63 × 4,213.47
  4. Step 4: Simplify right side
    6,451.25x = 37,519,370.30
  5. Step 5: Solve for x
    x = 37,519,370.30/6,451.25
  6. Step 6: Final answer
    x = 5,815.83

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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.