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Finding the Fourth Proportional to 10,604, 15,902 and 8,518.88

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Solution

The fourth proportional to 10,604, 15,902 and 8,518.88 is: 12,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604 : 15,902 = 8,518.88 : x
  2. Step 2: Convert to fraction form
    10,604/15,902 = 8,518.88/x
  3. Step 3: Cross multiply
    10,604x = 15,902 × 8,518.88
  4. Step 4: Simplify right side
    10,604x = 135,467,229.76
  5. Step 5: Solve for x
    x = 135,467,229.76/10,604
  6. Step 6: Final answer
    x = 12,775.11

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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.