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Finding the Fourth Proportional to 10,647, 14,694.96 and 6,171.72

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Solution

The fourth proportional to 10,647, 14,694.96 and 6,171.72 is: 8,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647 : 14,694.96 = 6,171.72 : x
  2. Step 2: Convert to fraction form
    10,647/14,694.96 = 6,171.72/x
  3. Step 3: Cross multiply
    10,647x = 14,694.96 × 6,171.72
  4. Step 4: Simplify right side
    10,647x = 90,693,178.53
  5. Step 5: Solve for x
    x = 90,693,178.53/10,647
  6. Step 6: Final answer
    x = 8,518.19

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1.5x scale

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.