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Finding the Fourth Proportional to 27,142.80, 40,708.80 and 13,102.80

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Solution

The fourth proportional to 27,142.80, 40,708.80 and 13,102.80 is: 19,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.80 : 40,708.80 = 13,102.80 : x
  2. Step 2: Convert to fraction form
    27,142.80/40,708.80 = 13,102.80/x
  3. Step 3: Cross multiply
    27,142.80x = 40,708.80 × 13,102.80
  4. Step 4: Simplify right side
    27,142.80x = 533,399,264.64
  5. Step 5: Solve for x
    x = 533,399,264.64/27,142.80
  6. Step 6: Final answer
    x = 19,651.59

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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.