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Finding the Fourth Proportional to 8,472, 11,692.08 and 4,746.72

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Solution

The fourth proportional to 8,472, 11,692.08 and 4,746.72 is: 6,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472 : 11,692.08 = 4,746.72 : x
  2. Step 2: Convert to fraction form
    8,472/11,692.08 = 4,746.72/x
  3. Step 3: Cross multiply
    8,472x = 11,692.08 × 4,746.72
  4. Step 4: Simplify right side
    8,472x = 55,499,029.98
  5. Step 5: Solve for x
    x = 55,499,029.98/8,472
  6. Step 6: Final answer
    x = 6,550.88

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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.