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Finding the Fourth Proportional to 6,090.34, 9,136.80 and 1,929.80

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Solution

The fourth proportional to 6,090.34, 9,136.80 and 1,929.80 is: 2,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.34 : 9,136.80 = 1,929.80 : x
  2. Step 2: Convert to fraction form
    6,090.34/9,136.80 = 1,929.80/x
  3. Step 3: Cross multiply
    6,090.34x = 9,136.80 × 1,929.80
  4. Step 4: Simplify right side
    6,090.34x = 17,632,193.78
  5. Step 5: Solve for x
    x = 17,632,193.78/6,090.34
  6. Step 6: Final answer
    x = 2,895.11

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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.