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Finding the Fourth Proportional to 6,516.70, 9,774.30 and 1,899.70

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Solution

The fourth proportional to 6,516.70, 9,774.30 and 1,899.70 is: 2,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.70 : 9,774.30 = 1,899.70 : x
  2. Step 2: Convert to fraction form
    6,516.70/9,774.30 = 1,899.70/x
  3. Step 3: Cross multiply
    6,516.70x = 9,774.30 × 1,899.70
  4. Step 4: Simplify right side
    6,516.70x = 18,568,237.71
  5. Step 5: Solve for x
    x = 18,568,237.71/6,516.70
  6. Step 6: Final answer
    x = 2,849.33

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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.