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Finding the Fourth Proportional to 30,460.14, 45,689.76 and 8,274

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Solution

The fourth proportional to 30,460.14, 45,689.76 and 8,274 is: 12,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460.14 : 45,689.76 = 8,274 : x
  2. Step 2: Convert to fraction form
    30,460.14/45,689.76 = 8,274/x
  3. Step 3: Cross multiply
    30,460.14x = 45,689.76 × 8,274
  4. Step 4: Simplify right side
    30,460.14x = 378,037,074.24
  5. Step 5: Solve for x
    x = 378,037,074.24/30,460.14
  6. Step 6: Final answer
    x = 12,410.88

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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.