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Finding the Fourth Proportional to 1,696.45, 2,544.51 and 1,402.80

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Solution

The fourth proportional to 1,696.45, 2,544.51 and 1,402.80 is: 2,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.45 : 2,544.51 = 1,402.80 : x
  2. Step 2: Convert to fraction form
    1,696.45/2,544.51 = 1,402.80/x
  3. Step 3: Cross multiply
    1,696.45x = 2,544.51 × 1,402.80
  4. Step 4: Simplify right side
    1,696.45x = 3,569,438.63
  5. Step 5: Solve for x
    x = 3,569,438.63/1,696.45
  6. Step 6: Final answer
    x = 2,104.06

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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.