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Finding the Fourth Proportional to 2,006.04, 3,008.16 and 618.96

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Solution

The fourth proportional to 2,006.04, 3,008.16 and 618.96 is: 928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.04 : 3,008.16 = 618.96 : x
  2. Step 2: Convert to fraction form
    2,006.04/3,008.16 = 618.96/x
  3. Step 3: Cross multiply
    2,006.04x = 3,008.16 × 618.96
  4. Step 4: Simplify right side
    2,006.04x = 1,861,930.71
  5. Step 5: Solve for x
    x = 1,861,930.71/2,006.04
  6. Step 6: Final answer
    x = 928.16

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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.