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Finding the Fourth Proportional to 2,099.13, 3,147.93 and 782.57

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Solution

The fourth proportional to 2,099.13, 3,147.93 and 782.57 is: 1,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.13 : 3,147.93 = 782.57 : x
  2. Step 2: Convert to fraction form
    2,099.13/3,147.93 = 782.57/x
  3. Step 3: Cross multiply
    2,099.13x = 3,147.93 × 782.57
  4. Step 4: Simplify right side
    2,099.13x = 2,463,459.84
  5. Step 5: Solve for x
    x = 2,463,459.84/2,099.13
  6. Step 6: Final answer
    x = 1,173.56

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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.