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Finding the Fourth Proportional to 3,672.75, 5,509.09 and 899.46

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Solution

The fourth proportional to 3,672.75, 5,509.09 and 899.46 is: 1,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.75 : 5,509.09 = 899.46 : x
  2. Step 2: Convert to fraction form
    3,672.75/5,509.09 = 899.46/x
  3. Step 3: Cross multiply
    3,672.75x = 5,509.09 × 899.46
  4. Step 4: Simplify right side
    3,672.75x = 4,955,206.09
  5. Step 5: Solve for x
    x = 4,955,206.09/3,672.75
  6. Step 6: Final answer
    x = 1,349.18

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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.