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Finding the Fourth Proportional to 10,193, 15,291.70 and 3,172.87

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Solution

The fourth proportional to 10,193, 15,291.70 and 3,172.87 is: 4,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193 : 15,291.70 = 3,172.87 : x
  2. Step 2: Convert to fraction form
    10,193/15,291.70 = 3,172.87/x
  3. Step 3: Cross multiply
    10,193x = 15,291.70 × 3,172.87
  4. Step 4: Simplify right side
    10,193x = 48,518,483.86
  5. Step 5: Solve for x
    x = 48,518,483.86/10,193
  6. Step 6: Final answer
    x = 4,759.98

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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.