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Finding the Fourth Proportional to 2,660.85, 3,672 and 1,482.03

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Solution

The fourth proportional to 2,660.85, 3,672 and 1,482.03 is: 2,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.85 : 3,672 = 1,482.03 : x
  2. Step 2: Convert to fraction form
    2,660.85/3,672 = 1,482.03/x
  3. Step 3: Cross multiply
    2,660.85x = 3,672 × 1,482.03
  4. Step 4: Simplify right side
    2,660.85x = 5,442,014.16
  5. Step 5: Solve for x
    x = 5,442,014.16/2,660.85
  6. Step 6: Final answer
    x = 2,045.22

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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.