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Finding the Fourth Proportional to 40,899.80, 61,348 and 12,819.24

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Solution

The fourth proportional to 40,899.80, 61,348 and 12,819.24 is: 19,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,899.80 : 61,348 = 12,819.24 : x
  2. Step 2: Convert to fraction form
    40,899.80/61,348 = 12,819.24/x
  3. Step 3: Cross multiply
    40,899.80x = 61,348 × 12,819.24
  4. Step 4: Simplify right side
    40,899.80x = 786,434,735.52
  5. Step 5: Solve for x
    x = 786,434,735.52/40,899.80
  6. Step 6: Final answer
    x = 19,228.33

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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.