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Finding the Fourth Proportional to 5,099.82, 7,649.72 and 1,639.50

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Solution

The fourth proportional to 5,099.82, 7,649.72 and 1,639.50 is: 2,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.82 : 7,649.72 = 1,639.50 : x
  2. Step 2: Convert to fraction form
    5,099.82/7,649.72 = 1,639.50/x
  3. Step 3: Cross multiply
    5,099.82x = 7,649.72 × 1,639.50
  4. Step 4: Simplify right side
    5,099.82x = 12,541,715.94
  5. Step 5: Solve for x
    x = 12,541,715.94/5,099.82
  6. Step 6: Final answer
    x = 2,459.25

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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.