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Finding the Fourth Proportional to 2,179.76, 3,269.64 and 947.12

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Solution

The fourth proportional to 2,179.76, 3,269.64 and 947.12 is: 1,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.76 : 3,269.64 = 947.12 : x
  2. Step 2: Convert to fraction form
    2,179.76/3,269.64 = 947.12/x
  3. Step 3: Cross multiply
    2,179.76x = 3,269.64 × 947.12
  4. Step 4: Simplify right side
    2,179.76x = 3,096,741.44
  5. Step 5: Solve for x
    x = 3,096,741.44/2,179.76
  6. Step 6: Final answer
    x = 1,420.68

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.