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Finding the Fourth Proportional to 4,742.78, 7,114.14 and 1,969.38

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Solution

The fourth proportional to 4,742.78, 7,114.14 and 1,969.38 is: 2,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.78 : 7,114.14 = 1,969.38 : x
  2. Step 2: Convert to fraction form
    4,742.78/7,114.14 = 1,969.38/x
  3. Step 3: Cross multiply
    4,742.78x = 7,114.14 × 1,969.38
  4. Step 4: Simplify right side
    4,742.78x = 14,010,445.03
  5. Step 5: Solve for x
    x = 14,010,445.03/4,742.78
  6. Step 6: Final answer
    x = 2,954.06

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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.