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Finding the Fourth Proportional to 23,782.80, 32,820.50 and 13,172.36

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Solution

The fourth proportional to 23,782.80, 32,820.50 and 13,172.36 is: 18,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.80 : 32,820.50 = 13,172.36 : x
  2. Step 2: Convert to fraction form
    23,782.80/32,820.50 = 13,172.36/x
  3. Step 3: Cross multiply
    23,782.80x = 32,820.50 × 13,172.36
  4. Step 4: Simplify right side
    23,782.80x = 432,323,441.38
  5. Step 5: Solve for x
    x = 432,323,441.38/23,782.80
  6. Step 6: Final answer
    x = 18,177.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.