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Finding the Fourth Proportional to 18,145.80, 25,041.24 and 10,188

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Solution

The fourth proportional to 18,145.80, 25,041.24 and 10,188 is: 14,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,145.80 : 25,041.24 = 10,188 : x
  2. Step 2: Convert to fraction form
    18,145.80/25,041.24 = 10,188/x
  3. Step 3: Cross multiply
    18,145.80x = 25,041.24 × 10,188
  4. Step 4: Simplify right side
    18,145.80x = 255,120,153.12
  5. Step 5: Solve for x
    x = 255,120,153.12/18,145.80
  6. Step 6: Final answer
    x = 14,059.46

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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.