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Finding the Fourth Proportional to 1,820.17, 2,731.07 and 954.28

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Solution

The fourth proportional to 1,820.17, 2,731.07 and 954.28 is: 1,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.17 : 2,731.07 = 954.28 : x
  2. Step 2: Convert to fraction form
    1,820.17/2,731.07 = 954.28/x
  3. Step 3: Cross multiply
    1,820.17x = 2,731.07 × 954.28
  4. Step 4: Simplify right side
    1,820.17x = 2,606,205.91
  5. Step 5: Solve for x
    x = 2,606,205.91/1,820.17
  6. Step 6: Final answer
    x = 1,431.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.