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Finding the Fourth Proportional to 18,526.64, 25,566.50 and 10,143.14

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Solution

The fourth proportional to 18,526.64, 25,566.50 and 10,143.14 is: 13,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526.64 : 25,566.50 = 10,143.14 : x
  2. Step 2: Convert to fraction form
    18,526.64/25,566.50 = 10,143.14/x
  3. Step 3: Cross multiply
    18,526.64x = 25,566.50 × 10,143.14
  4. Step 4: Simplify right side
    18,526.64x = 259,324,486.34
  5. Step 5: Solve for x
    x = 259,324,486.34/18,526.64
  6. Step 6: Final answer
    x = 13,997.39

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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.