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Finding the Fourth Proportional to 5,313.58, 7,930.20 and 5,175.34

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Solution

The fourth proportional to 5,313.58, 7,930.20 and 5,175.34 is: 7,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.58 : 7,930.20 = 5,175.34 : x
  2. Step 2: Convert to fraction form
    5,313.58/7,930.20 = 5,175.34/x
  3. Step 3: Cross multiply
    5,313.58x = 7,930.20 × 5,175.34
  4. Step 4: Simplify right side
    5,313.58x = 41,041,455.39
  5. Step 5: Solve for x
    x = 41,041,455.39/5,313.58
  6. Step 6: Final answer
    x = 7,723.88

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