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Finding the Fourth Proportional to 1,696.77, 2,555.82 and 1,543.68

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Solution

The fourth proportional to 1,696.77, 2,555.82 and 1,543.68 is: 2,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.77 : 2,555.82 = 1,543.68 : x
  2. Step 2: Convert to fraction form
    1,696.77/2,555.82 = 1,543.68/x
  3. Step 3: Cross multiply
    1,696.77x = 2,555.82 × 1,543.68
  4. Step 4: Simplify right side
    1,696.77x = 3,945,368.22
  5. Step 5: Solve for x
    x = 3,945,368.22/1,696.77
  6. Step 6: Final answer
    x = 2,325.22

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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.