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Finding the Fourth Proportional to 6,645.41, 9,169.71 and 3,812.91

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Solution

The fourth proportional to 6,645.41, 9,169.71 and 3,812.91 is: 5,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.41 : 9,169.71 = 3,812.91 : x
  2. Step 2: Convert to fraction form
    6,645.41/9,169.71 = 3,812.91/x
  3. Step 3: Cross multiply
    6,645.41x = 9,169.71 × 3,812.91
  4. Step 4: Simplify right side
    6,645.41x = 34,963,278.96
  5. Step 5: Solve for x
    x = 34,963,278.96/6,645.41
  6. Step 6: Final answer
    x = 5,261.27

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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.