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Finding the Fourth Proportional to 9,480.56, 13,082.98 and 5,502.06

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Solution

The fourth proportional to 9,480.56, 13,082.98 and 5,502.06 is: 7,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.56 : 13,082.98 = 5,502.06 : x
  2. Step 2: Convert to fraction form
    9,480.56/13,082.98 = 5,502.06/x
  3. Step 3: Cross multiply
    9,480.56x = 13,082.98 × 5,502.06
  4. Step 4: Simplify right side
    9,480.56x = 71,983,340.94
  5. Step 5: Solve for x
    x = 71,983,340.94/9,480.56
  6. Step 6: Final answer
    x = 7,592.73

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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.