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Finding the Fourth Proportional to 12,782.84, 17,640.29 and 7,476.62

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Solution

The fourth proportional to 12,782.84, 17,640.29 and 7,476.62 is: 10,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.84 : 17,640.29 = 7,476.62 : x
  2. Step 2: Convert to fraction form
    12,782.84/17,640.29 = 7,476.62/x
  3. Step 3: Cross multiply
    12,782.84x = 17,640.29 × 7,476.62
  4. Step 4: Simplify right side
    12,782.84x = 131,889,619.44
  5. Step 5: Solve for x
    x = 131,889,619.44/12,782.84
  6. Step 6: Final answer
    x = 10,317.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.