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Finding the Fourth Proportional to 19,782.80, 29,695.80 and 11,013.20

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Solution

The fourth proportional to 19,782.80, 29,695.80 and 11,013.20 is: 16,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.80 : 29,695.80 = 11,013.20 : x
  2. Step 2: Convert to fraction form
    19,782.80/29,695.80 = 11,013.20/x
  3. Step 3: Cross multiply
    19,782.80x = 29,695.80 × 11,013.20
  4. Step 4: Simplify right side
    19,782.80x = 327,045,784.56
  5. Step 5: Solve for x
    x = 327,045,784.56/19,782.80
  6. Step 6: Final answer
    x = 16,531.82

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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.