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Finding the Fourth Proportional to 1,806.49, 2,709.74 and 985.15

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Solution

The fourth proportional to 1,806.49, 2,709.74 and 985.15 is: 1,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.49 : 2,709.74 = 985.15 : x
  2. Step 2: Convert to fraction form
    1,806.49/2,709.74 = 985.15/x
  3. Step 3: Cross multiply
    1,806.49x = 2,709.74 × 985.15
  4. Step 4: Simplify right side
    1,806.49x = 2,669,500.36
  5. Step 5: Solve for x
    x = 2,669,500.36/1,806.49
  6. Step 6: Final answer
    x = 1,477.73

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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.