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Finding the Fourth Proportional to 1,555, 2,146.14 and 965.56

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Solution

The fourth proportional to 1,555, 2,146.14 and 965.56 is: 1,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555 : 2,146.14 = 965.56 : x
  2. Step 2: Convert to fraction form
    1,555/2,146.14 = 965.56/x
  3. Step 3: Cross multiply
    1,555x = 2,146.14 × 965.56
  4. Step 4: Simplify right side
    1,555x = 2,072,226.94
  5. Step 5: Solve for x
    x = 2,072,226.94/1,555
  6. Step 6: Final answer
    x = 1,332.62

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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.