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Finding the Fourth Proportional to 13,710.82, 18,920.74 and 7,744.41

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Solution

The fourth proportional to 13,710.82, 18,920.74 and 7,744.41 is: 10,687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.82 : 18,920.74 = 7,744.41 : x
  2. Step 2: Convert to fraction form
    13,710.82/18,920.74 = 7,744.41/x
  3. Step 3: Cross multiply
    13,710.82x = 18,920.74 × 7,744.41
  4. Step 4: Simplify right side
    13,710.82x = 146,529,963.22
  5. Step 5: Solve for x
    x = 146,529,963.22/13,710.82
  6. Step 6: Final answer
    x = 10,687.18

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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.