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Finding the Fourth Proportional to 27,311.80, 40,962.30 and 13,271.80

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Solution

The fourth proportional to 27,311.80, 40,962.30 and 13,271.80 is: 19,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.80 : 40,962.30 = 13,271.80 : x
  2. Step 2: Convert to fraction form
    27,311.80/40,962.30 = 13,271.80/x
  3. Step 3: Cross multiply
    27,311.80x = 40,962.30 × 13,271.80
  4. Step 4: Simplify right side
    27,311.80x = 543,643,453.14
  5. Step 5: Solve for x
    x = 543,643,453.14/27,311.80
  6. Step 6: Final answer
    x = 19,905.08

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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.