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Finding the Fourth Proportional to 2,099.93, 3,148.47 and 783.68

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Solution

The fourth proportional to 2,099.93, 3,148.47 and 783.68 is: 1,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.93 : 3,148.47 = 783.68 : x
  2. Step 2: Convert to fraction form
    2,099.93/3,148.47 = 783.68/x
  3. Step 3: Cross multiply
    2,099.93x = 3,148.47 × 783.68
  4. Step 4: Simplify right side
    2,099.93x = 2,467,377.23
  5. Step 5: Solve for x
    x = 2,467,377.23/2,099.93
  6. Step 6: Final answer
    x = 1,174.98

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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.