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Finding the Fourth Proportional to 6,090.70, 9,136.98 and 1,929.72

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Solution

The fourth proportional to 6,090.70, 9,136.98 and 1,929.72 is: 2,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.70 : 9,136.98 = 1,929.72 : x
  2. Step 2: Convert to fraction form
    6,090.70/9,136.98 = 1,929.72/x
  3. Step 3: Cross multiply
    6,090.70x = 9,136.98 × 1,929.72
  4. Step 4: Simplify right side
    6,090.70x = 17,631,813.05
  5. Step 5: Solve for x
    x = 17,631,813.05/6,090.70
  6. Step 6: Final answer
    x = 2,894.87

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1.5x scale

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.