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Finding the Fourth Proportional to 9,480.87, 13,080.56 and 5,288.31

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Solution

The fourth proportional to 9,480.87, 13,080.56 and 5,288.31 is: 7,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.87 : 13,080.56 = 5,288.31 : x
  2. Step 2: Convert to fraction form
    9,480.87/13,080.56 = 5,288.31/x
  3. Step 3: Cross multiply
    9,480.87x = 13,080.56 × 5,288.31
  4. Step 4: Simplify right side
    9,480.87x = 69,174,029.81
  5. Step 5: Solve for x
    x = 69,174,029.81/9,480.87
  6. Step 6: Final answer
    x = 7,296.17

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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.