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Finding the Fourth Proportional to 3,709.01, 5,128.28 and 3,241.92

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Solution

The fourth proportional to 3,709.01, 5,128.28 and 3,241.92 is: 4,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.01 : 5,128.28 = 3,241.92 : x
  2. Step 2: Convert to fraction form
    3,709.01/5,128.28 = 3,241.92/x
  3. Step 3: Cross multiply
    3,709.01x = 5,128.28 × 3,241.92
  4. Step 4: Simplify right side
    3,709.01x = 16,625,457.29
  5. Step 5: Solve for x
    x = 16,625,457.29/3,709.01
  6. Step 6: Final answer
    x = 4,482.46

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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.