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Finding the Fourth Proportional to 5,189.36, 7,784 and 1,293.74

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Solution

The fourth proportional to 5,189.36, 7,784 and 1,293.74 is: 1,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.36 : 7,784 = 1,293.74 : x
  2. Step 2: Convert to fraction form
    5,189.36/7,784 = 1,293.74/x
  3. Step 3: Cross multiply
    5,189.36x = 7,784 × 1,293.74
  4. Step 4: Simplify right side
    5,189.36x = 10,070,472.16
  5. Step 5: Solve for x
    x = 10,070,472.16/5,189.36
  6. Step 6: Final answer
    x = 1,940.60

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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.