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Finding the Fourth Proportional to 4,742.78, 7,109.84 and 1,622.20

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Solution

The fourth proportional to 4,742.78, 7,109.84 and 1,622.20 is: 2,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.78 : 7,109.84 = 1,622.20 : x
  2. Step 2: Convert to fraction form
    4,742.78/7,109.84 = 1,622.20/x
  3. Step 3: Cross multiply
    4,742.78x = 7,109.84 × 1,622.20
  4. Step 4: Simplify right side
    4,742.78x = 11,533,582.45
  5. Step 5: Solve for x
    x = 11,533,582.45/4,742.78
  6. Step 6: Final answer
    x = 2,431.82

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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.