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Finding the Fourth Proportional to 2,005.46, 3,008.21 and 618.78

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Solution

The fourth proportional to 2,005.46, 3,008.21 and 618.78 is: 928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.46 : 3,008.21 = 618.78 : x
  2. Step 2: Convert to fraction form
    2,005.46/3,008.21 = 618.78/x
  3. Step 3: Cross multiply
    2,005.46x = 3,008.21 × 618.78
  4. Step 4: Simplify right side
    2,005.46x = 1,861,420.18
  5. Step 5: Solve for x
    x = 1,861,420.18/2,005.46
  6. Step 6: Final answer
    x = 928.18

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1.5x scale

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.