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Finding the Fourth Proportional to 2,645.03, 3,645.90 and 2,084.57

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Solution

The fourth proportional to 2,645.03, 3,645.90 and 2,084.57 is: 2,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.03 : 3,645.90 = 2,084.57 : x
  2. Step 2: Convert to fraction form
    2,645.03/3,645.90 = 2,084.57/x
  3. Step 3: Cross multiply
    2,645.03x = 3,645.90 × 2,084.57
  4. Step 4: Simplify right side
    2,645.03x = 7,600,115.53
  5. Step 5: Solve for x
    x = 7,600,115.53/2,645.03
  6. Step 6: Final answer
    x = 2,873.36

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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.