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Finding the Fourth Proportional to 10,475.25, 15,709.53 and 3,453.95

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Solution

The fourth proportional to 10,475.25, 15,709.53 and 3,453.95 is: 5,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.25 : 15,709.53 = 3,453.95 : x
  2. Step 2: Convert to fraction form
    10,475.25/15,709.53 = 3,453.95/x
  3. Step 3: Cross multiply
    10,475.25x = 15,709.53 × 3,453.95
  4. Step 4: Simplify right side
    10,475.25x = 54,259,931.14
  5. Step 5: Solve for x
    x = 54,259,931.14/10,475.25
  6. Step 6: Final answer
    x = 5,179.82

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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.