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Finding the Fourth Proportional to 6,643.92, 9,170.76 and 4,284.24

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Solution

The fourth proportional to 6,643.92, 9,170.76 and 4,284.24 is: 5,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.92 : 9,170.76 = 4,284.24 : x
  2. Step 2: Convert to fraction form
    6,643.92/9,170.76 = 4,284.24/x
  3. Step 3: Cross multiply
    6,643.92x = 9,170.76 × 4,284.24
  4. Step 4: Simplify right side
    6,643.92x = 39,289,736.82
  5. Step 5: Solve for x
    x = 39,289,736.82/6,643.92
  6. Step 6: Final answer
    x = 5,913.64

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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.