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Finding the Fourth Proportional to 2,900.16, 4,003.20 and 2,016

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Solution

The fourth proportional to 2,900.16, 4,003.20 and 2,016 is: 2,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.16 : 4,003.20 = 2,016 : x
  2. Step 2: Convert to fraction form
    2,900.16/4,003.20 = 2,016/x
  3. Step 3: Cross multiply
    2,900.16x = 4,003.20 × 2,016
  4. Step 4: Simplify right side
    2,900.16x = 8,070,451.20
  5. Step 5: Solve for x
    x = 8,070,451.20/2,900.16
  6. Step 6: Final answer
    x = 2,782.76

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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.