Home / 4,742.19-7,116.52-1,664.19

Finding the Fourth Proportional to 4,742.19, 7,116.52 and 1,664.19

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Solution

The fourth proportional to 4,742.19, 7,116.52 and 1,664.19 is: 2,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.19 : 7,116.52 = 1,664.19 : x
  2. Step 2: Convert to fraction form
    4,742.19/7,116.52 = 1,664.19/x
  3. Step 3: Cross multiply
    4,742.19x = 7,116.52 × 1,664.19
  4. Step 4: Simplify right side
    4,742.19x = 11,843,241.42
  5. Step 5: Solve for x
    x = 11,843,241.42/4,742.19
  6. Step 6: Final answer
    x = 2,497.42

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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.