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Finding the Fourth Proportional to 7,157.27, 9,876.82 and 4,013.46

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Solution

The fourth proportional to 7,157.27, 9,876.82 and 4,013.46 is: 5,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.27 : 9,876.82 = 4,013.46 : x
  2. Step 2: Convert to fraction form
    7,157.27/9,876.82 = 4,013.46/x
  3. Step 3: Cross multiply
    7,157.27x = 9,876.82 × 4,013.46
  4. Step 4: Simplify right side
    7,157.27x = 39,640,222.00
  5. Step 5: Solve for x
    x = 39,640,222.00/7,157.27
  6. Step 6: Final answer
    x = 5,538.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.