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Finding the Fourth Proportional to 18,604, 25,673.70 and 10,220.68

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Solution

The fourth proportional to 18,604, 25,673.70 and 10,220.68 is: 14,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,604 : 25,673.70 = 10,220.68 : x
  2. Step 2: Convert to fraction form
    18,604/25,673.70 = 10,220.68/x
  3. Step 3: Cross multiply
    18,604x = 25,673.70 × 10,220.68
  4. Step 4: Simplify right side
    18,604x = 262,402,672.12
  5. Step 5: Solve for x
    x = 262,402,672.12/18,604
  6. Step 6: Final answer
    x = 14,104.64

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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.