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Finding the Fourth Proportional to 3,115.53, 4,675.02 and 1,654.63

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Solution

The fourth proportional to 3,115.53, 4,675.02 and 1,654.63 is: 2,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.53 : 4,675.02 = 1,654.63 : x
  2. Step 2: Convert to fraction form
    3,115.53/4,675.02 = 1,654.63/x
  3. Step 3: Cross multiply
    3,115.53x = 4,675.02 × 1,654.63
  4. Step 4: Simplify right side
    3,115.53x = 7,735,410.45
  5. Step 5: Solve for x
    x = 7,735,410.45/3,115.53
  6. Step 6: Final answer
    x = 2,482.86

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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.