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Finding the Fourth Proportional to 5,119.26, 7,681.62 and 2,781

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Solution

The fourth proportional to 5,119.26, 7,681.62 and 2,781 is: 4,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.26 : 7,681.62 = 2,781 : x
  2. Step 2: Convert to fraction form
    5,119.26/7,681.62 = 2,781/x
  3. Step 3: Cross multiply
    5,119.26x = 7,681.62 × 2,781
  4. Step 4: Simplify right side
    5,119.26x = 21,362,585.22
  5. Step 5: Solve for x
    x = 21,362,585.22/5,119.26
  6. Step 6: Final answer
    x = 4,172.98

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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.