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Finding the Fourth Proportional to 5,203.31, 7,805.28 and 1,918.69

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Solution

The fourth proportional to 5,203.31, 7,805.28 and 1,918.69 is: 2,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.31 : 7,805.28 = 1,918.69 : x
  2. Step 2: Convert to fraction form
    5,203.31/7,805.28 = 1,918.69/x
  3. Step 3: Cross multiply
    5,203.31x = 7,805.28 × 1,918.69
  4. Step 4: Simplify right side
    5,203.31x = 14,975,889.57
  5. Step 5: Solve for x
    x = 14,975,889.57/5,203.31
  6. Step 6: Final answer
    x = 2,878.15

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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.