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Finding the Fourth Proportional to 31,452, 47,178 and 8,078.45

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Solution

The fourth proportional to 31,452, 47,178 and 8,078.45 is: 12,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,452 : 47,178 = 8,078.45 : x
  2. Step 2: Convert to fraction form
    31,452/47,178 = 8,078.45/x
  3. Step 3: Cross multiply
    31,452x = 47,178 × 8,078.45
  4. Step 4: Simplify right side
    31,452x = 381,124,878.21
  5. Step 5: Solve for x
    x = 381,124,878.21/31,452
  6. Step 6: Final answer
    x = 12,117.67

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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.