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Finding the Fourth Proportional to 19,569, 29,347.34 and 6,418.31

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Solution

The fourth proportional to 19,569, 29,347.34 and 6,418.31 is: 9,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569 : 29,347.34 = 6,418.31 : x
  2. Step 2: Convert to fraction form
    19,569/29,347.34 = 6,418.31/x
  3. Step 3: Cross multiply
    19,569x = 29,347.34 × 6,418.31
  4. Step 4: Simplify right side
    19,569x = 188,360,325.80
  5. Step 5: Solve for x
    x = 188,360,325.80/19,569
  6. Step 6: Final answer
    x = 9,625.44

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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.