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Finding the Fourth Proportional to 1,495, 2,227.64 and 1,331.43

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Solution

The fourth proportional to 1,495, 2,227.64 and 1,331.43 is: 1,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495 : 2,227.64 = 1,331.43 : x
  2. Step 2: Convert to fraction form
    1,495/2,227.64 = 1,331.43/x
  3. Step 3: Cross multiply
    1,495x = 2,227.64 × 1,331.43
  4. Step 4: Simplify right side
    1,495x = 2,965,946.73
  5. Step 5: Solve for x
    x = 2,965,946.73/1,495
  6. Step 6: Final answer
    x = 1,983.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.