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Finding the Fourth Proportional to 6,730.56, 9,270.72 and 5,238.36

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Solution

The fourth proportional to 6,730.56, 9,270.72 and 5,238.36 is: 7,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.56 : 9,270.72 = 5,238.36 : x
  2. Step 2: Convert to fraction form
    6,730.56/9,270.72 = 5,238.36/x
  3. Step 3: Cross multiply
    6,730.56x = 9,270.72 × 5,238.36
  4. Step 4: Simplify right side
    6,730.56x = 48,563,368.82
  5. Step 5: Solve for x
    x = 48,563,368.82/6,730.56
  6. Step 6: Final answer
    x = 7,215.35

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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.