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Finding the Fourth Proportional to 4,090.64, 6,134.64 and 1,624.72

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Solution

The fourth proportional to 4,090.64, 6,134.64 and 1,624.72 is: 2,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.64 : 6,134.64 = 1,624.72 : x
  2. Step 2: Convert to fraction form
    4,090.64/6,134.64 = 1,624.72/x
  3. Step 3: Cross multiply
    4,090.64x = 6,134.64 × 1,624.72
  4. Step 4: Simplify right side
    4,090.64x = 9,967,072.30
  5. Step 5: Solve for x
    x = 9,967,072.30/4,090.64
  6. Step 6: Final answer
    x = 2,436.56

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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.