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Finding the Fourth Proportional to 7,517, 11,282.70 and 3,133.28

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Solution

The fourth proportional to 7,517, 11,282.70 and 3,133.28 is: 4,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517 : 11,282.70 = 3,133.28 : x
  2. Step 2: Convert to fraction form
    7,517/11,282.70 = 3,133.28/x
  3. Step 3: Cross multiply
    7,517x = 11,282.70 × 3,133.28
  4. Step 4: Simplify right side
    7,517x = 35,351,858.26
  5. Step 5: Solve for x
    x = 35,351,858.26/7,517
  6. Step 6: Final answer
    x = 4,702.92

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Why These Related Problems?

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