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Finding the Fourth Proportional to 1,415.46, 1,954.29 and 1,083.30

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Solution

The fourth proportional to 1,415.46, 1,954.29 and 1,083.30 is: 1,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.46 : 1,954.29 = 1,083.30 : x
  2. Step 2: Convert to fraction form
    1,415.46/1,954.29 = 1,083.30/x
  3. Step 3: Cross multiply
    1,415.46x = 1,954.29 × 1,083.30
  4. Step 4: Simplify right side
    1,415.46x = 2,117,082.36
  5. Step 5: Solve for x
    x = 2,117,082.36/1,415.46
  6. Step 6: Final answer
    x = 1,495.69

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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.