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Finding the Fourth Proportional to 13,954.66, 19,257.30 and 7,666.90

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Solution

The fourth proportional to 13,954.66, 19,257.30 and 7,666.90 is: 10,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.66 : 19,257.30 = 7,666.90 : x
  2. Step 2: Convert to fraction form
    13,954.66/19,257.30 = 7,666.90/x
  3. Step 3: Cross multiply
    13,954.66x = 19,257.30 × 7,666.90
  4. Step 4: Simplify right side
    13,954.66x = 147,643,793.37
  5. Step 5: Solve for x
    x = 147,643,793.37/13,954.66
  6. Step 6: Final answer
    x = 10,580.25

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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.