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Finding the Fourth Proportional to 6,213.34, 9,320 and 4,259.62

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Solution

The fourth proportional to 6,213.34, 9,320 and 4,259.62 is: 6,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.34 : 9,320 = 4,259.62 : x
  2. Step 2: Convert to fraction form
    6,213.34/9,320 = 4,259.62/x
  3. Step 3: Cross multiply
    6,213.34x = 9,320 × 4,259.62
  4. Step 4: Simplify right side
    6,213.34x = 39,699,658.40
  5. Step 5: Solve for x
    x = 39,699,658.40/6,213.34
  6. Step 6: Final answer
    x = 6,389.42

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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.