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Finding the Fourth Proportional to 19,782.90, 29,663.55 and 8,082.90

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Solution

The fourth proportional to 19,782.90, 29,663.55 and 8,082.90 is: 12,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.90 : 29,663.55 = 8,082.90 : x
  2. Step 2: Convert to fraction form
    19,782.90/29,663.55 = 8,082.90/x
  3. Step 3: Cross multiply
    19,782.90x = 29,663.55 × 8,082.90
  4. Step 4: Simplify right side
    19,782.90x = 239,767,508.30
  5. Step 5: Solve for x
    x = 239,767,508.30/19,782.90
  6. Step 6: Final answer
    x = 12,119.94

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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.