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Finding the Fourth Proportional to 13,873.50, 19,145.43 and 8,914.14

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Solution

The fourth proportional to 13,873.50, 19,145.43 and 8,914.14 is: 12,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.50 : 19,145.43 = 8,914.14 : x
  2. Step 2: Convert to fraction form
    13,873.50/19,145.43 = 8,914.14/x
  3. Step 3: Cross multiply
    13,873.50x = 19,145.43 × 8,914.14
  4. Step 4: Simplify right side
    13,873.50x = 170,665,043.38
  5. Step 5: Solve for x
    x = 170,665,043.38/13,873.50
  6. Step 6: Final answer
    x = 12,301.51

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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.