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Finding the Fourth Proportional to 5,238.72, 7,824.96 and 4,072.32

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Solution

The fourth proportional to 5,238.72, 7,824.96 and 4,072.32 is: 6,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.72 : 7,824.96 = 4,072.32 : x
  2. Step 2: Convert to fraction form
    5,238.72/7,824.96 = 4,072.32/x
  3. Step 3: Cross multiply
    5,238.72x = 7,824.96 × 4,072.32
  4. Step 4: Simplify right side
    5,238.72x = 31,865,741.11
  5. Step 5: Solve for x
    x = 31,865,741.11/5,238.72
  6. Step 6: Final answer
    x = 6,082.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.