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Finding the Fourth Proportional to 7,445.75, 10,275.14 and 4,133.75

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Solution

The fourth proportional to 7,445.75, 10,275.14 and 4,133.75 is: 5,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.75 : 10,275.14 = 4,133.75 : x
  2. Step 2: Convert to fraction form
    7,445.75/10,275.14 = 4,133.75/x
  3. Step 3: Cross multiply
    7,445.75x = 10,275.14 × 4,133.75
  4. Step 4: Simplify right side
    7,445.75x = 42,474,859.98
  5. Step 5: Solve for x
    x = 42,474,859.98/7,445.75
  6. Step 6: Final answer
    x = 5,704.58

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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.