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Finding the Fourth Proportional to 4,742.67, 7,114.91 and 1,820.76

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Solution

The fourth proportional to 4,742.67, 7,114.91 and 1,820.76 is: 2,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.67 : 7,114.91 = 1,820.76 : x
  2. Step 2: Convert to fraction form
    4,742.67/7,114.91 = 1,820.76/x
  3. Step 3: Cross multiply
    4,742.67x = 7,114.91 × 1,820.76
  4. Step 4: Simplify right side
    4,742.67x = 12,954,507.75
  5. Step 5: Solve for x
    x = 12,954,507.75/4,742.67
  6. Step 6: Final answer
    x = 2,731.48

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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.