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Finding the Fourth Proportional to 6,643.51, 9,971.42 and 3,358.94

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Solution

The fourth proportional to 6,643.51, 9,971.42 and 3,358.94 is: 5,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.51 : 9,971.42 = 3,358.94 : x
  2. Step 2: Convert to fraction form
    6,643.51/9,971.42 = 3,358.94/x
  3. Step 3: Cross multiply
    6,643.51x = 9,971.42 × 3,358.94
  4. Step 4: Simplify right side
    6,643.51x = 33,493,334.84
  5. Step 5: Solve for x
    x = 33,493,334.84/6,643.51
  6. Step 6: Final answer
    x = 5,041.51

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1.5x scale

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.