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Finding the Fourth Proportional to 18,808.50, 25,955.88 and 10,425

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Solution

The fourth proportional to 18,808.50, 25,955.88 and 10,425 is: 14,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,808.50 : 25,955.88 = 10,425 : x
  2. Step 2: Convert to fraction form
    18,808.50/25,955.88 = 10,425/x
  3. Step 3: Cross multiply
    18,808.50x = 25,955.88 × 10,425
  4. Step 4: Simplify right side
    18,808.50x = 270,590,049
  5. Step 5: Solve for x
    x = 270,590,049/18,808.50
  6. Step 6: Final answer
    x = 14,386.58

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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.