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Finding the Fourth Proportional to 31,794.56, 47,692.76 and 8,421

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Solution

The fourth proportional to 31,794.56, 47,692.76 and 8,421 is: 12,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.56 : 47,692.76 = 8,421 : x
  2. Step 2: Convert to fraction form
    31,794.56/47,692.76 = 8,421/x
  3. Step 3: Cross multiply
    31,794.56x = 47,692.76 × 8,421
  4. Step 4: Simplify right side
    31,794.56x = 401,620,689.86
  5. Step 5: Solve for x
    x = 401,620,689.86/31,794.56
  6. Step 6: Final answer
    x = 12,631.74

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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.