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Finding the Fourth Proportional to 1,295.70, 1,953.21 and 1,211.05

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Solution

The fourth proportional to 1,295.70, 1,953.21 and 1,211.05 is: 1,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.70 : 1,953.21 = 1,211.05 : x
  2. Step 2: Convert to fraction form
    1,295.70/1,953.21 = 1,211.05/x
  3. Step 3: Cross multiply
    1,295.70x = 1,953.21 × 1,211.05
  4. Step 4: Simplify right side
    1,295.70x = 2,365,441.95
  5. Step 5: Solve for x
    x = 2,365,441.95/1,295.70
  6. Step 6: Final answer
    x = 1,825.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.