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Finding the Fourth Proportional to 5,098.82, 7,648.22 and 1,638.50

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Solution

The fourth proportional to 5,098.82, 7,648.22 and 1,638.50 is: 2,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.82 : 7,648.22 = 1,638.50 : x
  2. Step 2: Convert to fraction form
    5,098.82/7,648.22 = 1,638.50/x
  3. Step 3: Cross multiply
    5,098.82x = 7,648.22 × 1,638.50
  4. Step 4: Simplify right side
    5,098.82x = 12,531,574.33
  5. Step 5: Solve for x
    x = 12,531,574.33/5,098.82
  6. Step 6: Final answer
    x = 2,457.74

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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.