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Finding the Fourth Proportional to 6,406.50, 9,609.76 and 1,789.50

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Solution

The fourth proportional to 6,406.50, 9,609.76 and 1,789.50 is: 2,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.50 : 9,609.76 = 1,789.50 : x
  2. Step 2: Convert to fraction form
    6,406.50/9,609.76 = 1,789.50/x
  3. Step 3: Cross multiply
    6,406.50x = 9,609.76 × 1,789.50
  4. Step 4: Simplify right side
    6,406.50x = 17,196,665.52
  5. Step 5: Solve for x
    x = 17,196,665.52/6,406.50
  6. Step 6: Final answer
    x = 2,684.25

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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.