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Finding the Fourth Proportional to 4,809.72, 7,214.64 and 3,837.72

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Solution

The fourth proportional to 4,809.72, 7,214.64 and 3,837.72 is: 5,756.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.72 : 7,214.64 = 3,837.72 : x
  2. Step 2: Convert to fraction form
    4,809.72/7,214.64 = 3,837.72/x
  3. Step 3: Cross multiply
    4,809.72x = 7,214.64 × 3,837.72
  4. Step 4: Simplify right side
    4,809.72x = 27,687,768.22
  5. Step 5: Solve for x
    x = 27,687,768.22/4,809.72
  6. Step 6: Final answer
    x = 5,756.63

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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.