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Finding the Fourth Proportional to 3,005.60, 4,508.76 and 1,274

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Solution

The fourth proportional to 3,005.60, 4,508.76 and 1,274 is: 1,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.60 : 4,508.76 = 1,274 : x
  2. Step 2: Convert to fraction form
    3,005.60/4,508.76 = 1,274/x
  3. Step 3: Cross multiply
    3,005.60x = 4,508.76 × 1,274
  4. Step 4: Simplify right side
    3,005.60x = 5,744,160.24
  5. Step 5: Solve for x
    x = 5,744,160.24/3,005.60
  6. Step 6: Final answer
    x = 1,911.15

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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.