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Finding the Fourth Proportional to 5,122.16, 7,683.24 and 1,659.68

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Solution

The fourth proportional to 5,122.16, 7,683.24 and 1,659.68 is: 2,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.16 : 7,683.24 = 1,659.68 : x
  2. Step 2: Convert to fraction form
    5,122.16/7,683.24 = 1,659.68/x
  3. Step 3: Cross multiply
    5,122.16x = 7,683.24 × 1,659.68
  4. Step 4: Simplify right side
    5,122.16x = 12,751,719.76
  5. Step 5: Solve for x
    x = 12,751,719.76/5,122.16
  6. Step 6: Final answer
    x = 2,489.52

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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.