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Finding the Fourth Proportional to 5,203.88, 7,178.82 and 3,545

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Solution

The fourth proportional to 5,203.88, 7,178.82 and 3,545 is: 4,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.88 : 7,178.82 = 3,545 : x
  2. Step 2: Convert to fraction form
    5,203.88/7,178.82 = 3,545/x
  3. Step 3: Cross multiply
    5,203.88x = 7,178.82 × 3,545
  4. Step 4: Simplify right side
    5,203.88x = 25,448,916.90
  5. Step 5: Solve for x
    x = 25,448,916.90/5,203.88
  6. Step 6: Final answer
    x = 4,890.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.