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Finding the Fourth Proportional to 27,097.80, 40,573.80 and 21,217.20

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Solution

The fourth proportional to 27,097.80, 40,573.80 and 21,217.20 is: 31,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.80 : 40,573.80 = 21,217.20 : x
  2. Step 2: Convert to fraction form
    27,097.80/40,573.80 = 21,217.20/x
  3. Step 3: Cross multiply
    27,097.80x = 40,573.80 × 21,217.20
  4. Step 4: Simplify right side
    27,097.80x = 860,862,429.36
  5. Step 5: Solve for x
    x = 860,862,429.36/27,097.80
  6. Step 6: Final answer
    x = 31,768.72

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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.