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Finding the Fourth Proportional to 27,002.80, 40,498.80 and 12,962.80

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Solution

The fourth proportional to 27,002.80, 40,498.80 and 12,962.80 is: 19,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.80 : 40,498.80 = 12,962.80 : x
  2. Step 2: Convert to fraction form
    27,002.80/40,498.80 = 12,962.80/x
  3. Step 3: Cross multiply
    27,002.80x = 40,498.80 × 12,962.80
  4. Step 4: Simplify right side
    27,002.80x = 524,977,844.64
  5. Step 5: Solve for x
    x = 524,977,844.64/27,002.80
  6. Step 6: Final answer
    x = 19,441.61

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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.