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Finding the Fourth Proportional to 19,782.29, 29,673.44 and 8,090.75

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Solution

The fourth proportional to 19,782.29, 29,673.44 and 8,090.75 is: 12,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.29 : 29,673.44 = 8,090.75 : x
  2. Step 2: Convert to fraction form
    19,782.29/29,673.44 = 8,090.75/x
  3. Step 3: Cross multiply
    19,782.29x = 29,673.44 × 8,090.75
  4. Step 4: Simplify right side
    19,782.29x = 240,080,384.68
  5. Step 5: Solve for x
    x = 240,080,384.68/19,782.29
  6. Step 6: Final answer
    x = 12,136.13

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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.