Home / 4,742.50-7,113.75-1,664.50

Finding the Fourth Proportional to 4,742.50, 7,113.75 and 1,664.50

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Solution

The fourth proportional to 4,742.50, 7,113.75 and 1,664.50 is: 2,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.50 : 7,113.75 = 1,664.50 : x
  2. Step 2: Convert to fraction form
    4,742.50/7,113.75 = 1,664.50/x
  3. Step 3: Cross multiply
    4,742.50x = 7,113.75 × 1,664.50
  4. Step 4: Simplify right side
    4,742.50x = 11,840,836.88
  5. Step 5: Solve for x
    x = 11,840,836.88/4,742.50
  6. Step 6: Final answer
    x = 2,496.75

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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.