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Finding the Fourth Proportional to 6,509.72, 9,764.60 and 2,613.21

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Solution

The fourth proportional to 6,509.72, 9,764.60 and 2,613.21 is: 3,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.72 : 9,764.60 = 2,613.21 : x
  2. Step 2: Convert to fraction form
    6,509.72/9,764.60 = 2,613.21/x
  3. Step 3: Cross multiply
    6,509.72x = 9,764.60 × 2,613.21
  4. Step 4: Simplify right side
    6,509.72x = 25,516,937.30
  5. Step 5: Solve for x
    x = 25,516,937.30/6,509.72
  6. Step 6: Final answer
    x = 3,919.82

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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.