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Finding the Fourth Proportional to 2,005.16, 3,006.63 and 618.11

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Solution

The fourth proportional to 2,005.16, 3,006.63 and 618.11 is: 926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.16 : 3,006.63 = 618.11 : x
  2. Step 2: Convert to fraction form
    2,005.16/3,006.63 = 618.11/x
  3. Step 3: Cross multiply
    2,005.16x = 3,006.63 × 618.11
  4. Step 4: Simplify right side
    2,005.16x = 1,858,424.31
  5. Step 5: Solve for x
    x = 1,858,424.31/2,005.16
  6. Step 6: Final answer
    x = 926.82

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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.