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Finding the Fourth Proportional to 1,966.57, 2,696.27 and 1,931.49

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Solution

The fourth proportional to 1,966.57, 2,696.27 and 1,931.49 is: 2,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.57 : 2,696.27 = 1,931.49 : x
  2. Step 2: Convert to fraction form
    1,966.57/2,696.27 = 1,931.49/x
  3. Step 3: Cross multiply
    1,966.57x = 2,696.27 × 1,931.49
  4. Step 4: Simplify right side
    1,966.57x = 5,207,808.88
  5. Step 5: Solve for x
    x = 5,207,808.88/1,966.57
  6. Step 6: Final answer
    x = 2,648.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.