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Finding the Fourth Proportional to 35,005.20, 52,507.80 and 12,819.30

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Solution

The fourth proportional to 35,005.20, 52,507.80 and 12,819.30 is: 19,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,005.20 : 52,507.80 = 12,819.30 : x
  2. Step 2: Convert to fraction form
    35,005.20/52,507.80 = 12,819.30/x
  3. Step 3: Cross multiply
    35,005.20x = 52,507.80 × 12,819.30
  4. Step 4: Simplify right side
    35,005.20x = 673,113,240.54
  5. Step 5: Solve for x
    x = 673,113,240.54/35,005.20
  6. Step 6: Final answer
    x = 19,228.95

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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.