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Finding the Fourth Proportional to 1,770.87, 2,653.12 and 1,476.57

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Solution

The fourth proportional to 1,770.87, 2,653.12 and 1,476.57 is: 2,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.87 : 2,653.12 = 1,476.57 : x
  2. Step 2: Convert to fraction form
    1,770.87/2,653.12 = 1,476.57/x
  3. Step 3: Cross multiply
    1,770.87x = 2,653.12 × 1,476.57
  4. Step 4: Simplify right side
    1,770.87x = 3,917,517.40
  5. Step 5: Solve for x
    x = 3,917,517.40/1,770.87
  6. Step 6: Final answer
    x = 2,212.20

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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.