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Finding the Fourth Proportional to 35,730.30, 49,310.84 and 19,819.88

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Solution

The fourth proportional to 35,730.30, 49,310.84 and 19,819.88 is: 27,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730.30 : 49,310.84 = 19,819.88 : x
  2. Step 2: Convert to fraction form
    35,730.30/49,310.84 = 19,819.88/x
  3. Step 3: Cross multiply
    35,730.30x = 49,310.84 × 19,819.88
  4. Step 4: Simplify right side
    35,730.30x = 977,334,734.49
  5. Step 5: Solve for x
    x = 977,334,734.49/35,730.30
  6. Step 6: Final answer
    x = 27,353.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.