Home / 4,742.40-7,116.75-1,664.40

Finding the Fourth Proportional to 4,742.40, 7,116.75 and 1,664.40

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Solution

The fourth proportional to 4,742.40, 7,116.75 and 1,664.40 is: 2,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.40 : 7,116.75 = 1,664.40 : x
  2. Step 2: Convert to fraction form
    4,742.40/7,116.75 = 1,664.40/x
  3. Step 3: Cross multiply
    4,742.40x = 7,116.75 × 1,664.40
  4. Step 4: Simplify right side
    4,742.40x = 11,845,118.70
  5. Step 5: Solve for x
    x = 11,845,118.70/4,742.40
  6. Step 6: Final answer
    x = 2,497.71

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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.