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Finding the Fourth Proportional to 3,099.35, 4,657.53 and 1,639.53

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Solution

The fourth proportional to 3,099.35, 4,657.53 and 1,639.53 is: 2,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.35 : 4,657.53 = 1,639.53 : x
  2. Step 2: Convert to fraction form
    3,099.35/4,657.53 = 1,639.53/x
  3. Step 3: Cross multiply
    3,099.35x = 4,657.53 × 1,639.53
  4. Step 4: Simplify right side
    3,099.35x = 7,636,160.16
  5. Step 5: Solve for x
    x = 7,636,160.16/3,099.35
  6. Step 6: Final answer
    x = 2,463.80

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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.