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Finding the Fourth Proportional to 3,046.40, 4,573.20 and 1,731.20

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Solution

The fourth proportional to 3,046.40, 4,573.20 and 1,731.20 is: 2,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.40 : 4,573.20 = 1,731.20 : x
  2. Step 2: Convert to fraction form
    3,046.40/4,573.20 = 1,731.20/x
  3. Step 3: Cross multiply
    3,046.40x = 4,573.20 × 1,731.20
  4. Step 4: Simplify right side
    3,046.40x = 7,917,123.84
  5. Step 5: Solve for x
    x = 7,917,123.84/3,046.40
  6. Step 6: Final answer
    x = 2,598.85

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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.