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Finding the Fourth Proportional to 2,005.51, 3,008.60 and 618.82

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Solution

The fourth proportional to 2,005.51, 3,008.60 and 618.82 is: 928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.51 : 3,008.60 = 618.82 : x
  2. Step 2: Convert to fraction form
    2,005.51/3,008.60 = 618.82/x
  3. Step 3: Cross multiply
    2,005.51x = 3,008.60 × 618.82
  4. Step 4: Simplify right side
    2,005.51x = 1,861,766.81
  5. Step 5: Solve for x
    x = 1,861,766.81/2,005.51
  6. Step 6: Final answer
    x = 928.33

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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.