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Finding the Fourth Proportional to 6,457.53, 8,909.75 and 3,939.48

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Solution

The fourth proportional to 6,457.53, 8,909.75 and 3,939.48 is: 5,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.53 : 8,909.75 = 3,939.48 : x
  2. Step 2: Convert to fraction form
    6,457.53/8,909.75 = 3,939.48/x
  3. Step 3: Cross multiply
    6,457.53x = 8,909.75 × 3,939.48
  4. Step 4: Simplify right side
    6,457.53x = 35,099,717.68
  5. Step 5: Solve for x
    x = 35,099,717.68/6,457.53
  6. Step 6: Final answer
    x = 5,435.47

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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.