Home / 4,742.56-7,113.90-1,664.56

Finding the Fourth Proportional to 4,742.56, 7,113.90 and 1,664.56

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Solution

The fourth proportional to 4,742.56, 7,113.90 and 1,664.56 is: 2,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.56 : 7,113.90 = 1,664.56 : x
  2. Step 2: Convert to fraction form
    4,742.56/7,113.90 = 1,664.56/x
  3. Step 3: Cross multiply
    4,742.56x = 7,113.90 × 1,664.56
  4. Step 4: Simplify right side
    4,742.56x = 11,841,513.38
  5. Step 5: Solve for x
    x = 11,841,513.38/4,742.56
  6. Step 6: Final answer
    x = 2,496.86

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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.