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Finding the Fourth Proportional to 6,553, 9,043.14 and 3,609

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Solution

The fourth proportional to 6,553, 9,043.14 and 3,609 is: 4,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553 : 9,043.14 = 3,609 : x
  2. Step 2: Convert to fraction form
    6,553/9,043.14 = 3,609/x
  3. Step 3: Cross multiply
    6,553x = 9,043.14 × 3,609
  4. Step 4: Simplify right side
    6,553x = 32,636,692.26
  5. Step 5: Solve for x
    x = 32,636,692.26/6,553
  6. Step 6: Final answer
    x = 4,980.42

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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.