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Finding the Fourth Proportional to 1,955.87, 2,699.13 and 1,071.61

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Solution

The fourth proportional to 1,955.87, 2,699.13 and 1,071.61 is: 1,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.87 : 2,699.13 = 1,071.61 : x
  2. Step 2: Convert to fraction form
    1,955.87/2,699.13 = 1,071.61/x
  3. Step 3: Cross multiply
    1,955.87x = 2,699.13 × 1,071.61
  4. Step 4: Simplify right side
    1,955.87x = 2,892,414.70
  5. Step 5: Solve for x
    x = 2,892,414.70/1,955.87
  6. Step 6: Final answer
    x = 1,478.84

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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.