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Finding the Fourth Proportional to 3,502.13, 5,254.10 and 1,311.02

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Solution

The fourth proportional to 3,502.13, 5,254.10 and 1,311.02 is: 1,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.13 : 5,254.10 = 1,311.02 : x
  2. Step 2: Convert to fraction form
    3,502.13/5,254.10 = 1,311.02/x
  3. Step 3: Cross multiply
    3,502.13x = 5,254.10 × 1,311.02
  4. Step 4: Simplify right side
    3,502.13x = 6,888,197.36
  5. Step 5: Solve for x
    x = 6,888,197.36/3,502.13
  6. Step 6: Final answer
    x = 1,966.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.