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Finding the Fourth Proportional to 4,665.78, 6,964.53 and 4,112.21

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Solution

The fourth proportional to 4,665.78, 6,964.53 and 4,112.21 is: 6,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.78 : 6,964.53 = 4,112.21 : x
  2. Step 2: Convert to fraction form
    4,665.78/6,964.53 = 4,112.21/x
  3. Step 3: Cross multiply
    4,665.78x = 6,964.53 × 4,112.21
  4. Step 4: Simplify right side
    4,665.78x = 28,639,575.09
  5. Step 5: Solve for x
    x = 28,639,575.09/4,665.78
  6. Step 6: Final answer
    x = 6,138.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.