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Finding the Fourth Proportional to 10,453.10, 15,685.04 and 6,945.52

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Solution

The fourth proportional to 10,453.10, 15,685.04 and 6,945.52 is: 10,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.10 : 15,685.04 = 6,945.52 : x
  2. Step 2: Convert to fraction form
    10,453.10/15,685.04 = 6,945.52/x
  3. Step 3: Cross multiply
    10,453.10x = 15,685.04 × 6,945.52
  4. Step 4: Simplify right side
    10,453.10x = 108,940,759.02
  5. Step 5: Solve for x
    x = 108,940,759.02/10,453.10
  6. Step 6: Final answer
    x = 10,421.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.