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Finding the Fourth Proportional to 2,949, 4,070.16 and 2,066.12

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Solution

The fourth proportional to 2,949, 4,070.16 and 2,066.12 is: 2,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949 : 4,070.16 = 2,066.12 : x
  2. Step 2: Convert to fraction form
    2,949/4,070.16 = 2,066.12/x
  3. Step 3: Cross multiply
    2,949x = 4,070.16 × 2,066.12
  4. Step 4: Simplify right side
    2,949x = 8,409,438.98
  5. Step 5: Solve for x
    x = 8,409,438.98/2,949
  6. Step 6: Final answer
    x = 2,851.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.