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Finding the Fourth Proportional to 2,006.10, 2,768.13 and 1,155.32

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Solution

The fourth proportional to 2,006.10, 2,768.13 and 1,155.32 is: 1,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.10 : 2,768.13 = 1,155.32 : x
  2. Step 2: Convert to fraction form
    2,006.10/2,768.13 = 1,155.32/x
  3. Step 3: Cross multiply
    2,006.10x = 2,768.13 × 1,155.32
  4. Step 4: Simplify right side
    2,006.10x = 3,198,075.95
  5. Step 5: Solve for x
    x = 3,198,075.95/2,006.10
  6. Step 6: Final answer
    x = 1,594.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.