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Finding the Fourth Proportional to 4,687.64, 7,032.89 and 1,609.88

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Solution

The fourth proportional to 4,687.64, 7,032.89 and 1,609.88 is: 2,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.64 : 7,032.89 = 1,609.88 : x
  2. Step 2: Convert to fraction form
    4,687.64/7,032.89 = 1,609.88/x
  3. Step 3: Cross multiply
    4,687.64x = 7,032.89 × 1,609.88
  4. Step 4: Simplify right side
    4,687.64x = 11,322,077.81
  5. Step 5: Solve for x
    x = 11,322,077.81/4,687.64
  6. Step 6: Final answer
    x = 2,415.31

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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.