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Finding the Fourth Proportional to 18,954.64, 28,430.64 and 7,857.16

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Solution

The fourth proportional to 18,954.64, 28,430.64 and 7,857.16 is: 11,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,954.64 : 28,430.64 = 7,857.16 : x
  2. Step 2: Convert to fraction form
    18,954.64/28,430.64 = 7,857.16/x
  3. Step 3: Cross multiply
    18,954.64x = 28,430.64 × 7,857.16
  4. Step 4: Simplify right side
    18,954.64x = 223,384,087.38
  5. Step 5: Solve for x
    x = 223,384,087.38/18,954.64
  6. Step 6: Final answer
    x = 11,785.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.