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Finding the Fourth Proportional to 13,763.88, 18,994.14 and 7,476.21

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Solution

The fourth proportional to 13,763.88, 18,994.14 and 7,476.21 is: 10,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.88 : 18,994.14 = 7,476.21 : x
  2. Step 2: Convert to fraction form
    13,763.88/18,994.14 = 7,476.21/x
  3. Step 3: Cross multiply
    13,763.88x = 18,994.14 × 7,476.21
  4. Step 4: Simplify right side
    13,763.88x = 142,004,179.41
  5. Step 5: Solve for x
    x = 142,004,179.41/13,763.88
  6. Step 6: Final answer
    x = 10,317.16

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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.