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Finding the Fourth Proportional to 9,448.11, 13,037.46 and 5,470.50

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Solution

The fourth proportional to 9,448.11, 13,037.46 and 5,470.50 is: 7,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.11 : 13,037.46 = 5,470.50 : x
  2. Step 2: Convert to fraction form
    9,448.11/13,037.46 = 5,470.50/x
  3. Step 3: Cross multiply
    9,448.11x = 13,037.46 × 5,470.50
  4. Step 4: Simplify right side
    9,448.11x = 71,321,453.31
  5. Step 5: Solve for x
    x = 71,321,453.31/9,448.11
  6. Step 6: Final answer
    x = 7,548.75

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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.