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Finding the Fourth Proportional to 4,682.72, 6,457.28 and 4,212.64

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Solution

The fourth proportional to 4,682.72, 6,457.28 and 4,212.64 is: 5,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.72 : 6,457.28 = 4,212.64 : x
  2. Step 2: Convert to fraction form
    4,682.72/6,457.28 = 4,212.64/x
  3. Step 3: Cross multiply
    4,682.72x = 6,457.28 × 4,212.64
  4. Step 4: Simplify right side
    4,682.72x = 27,202,196.02
  5. Step 5: Solve for x
    x = 27,202,196.02/4,682.72
  6. Step 6: Final answer
    x = 5,809.06

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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.