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Finding the Fourth Proportional to 3,505.72, 5,256.72 and 2,045.32

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Solution

The fourth proportional to 3,505.72, 5,256.72 and 2,045.32 is: 3,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.72 : 5,256.72 = 2,045.32 : x
  2. Step 2: Convert to fraction form
    3,505.72/5,256.72 = 2,045.32/x
  3. Step 3: Cross multiply
    3,505.72x = 5,256.72 × 2,045.32
  4. Step 4: Simplify right side
    3,505.72x = 10,751,674.55
  5. Step 5: Solve for x
    x = 10,751,674.55/3,505.72
  6. Step 6: Final answer
    x = 3,066.89

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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.