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Finding the Fourth Proportional to 3,463.50, 4,779.83 and 1,971.48

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Solution

The fourth proportional to 3,463.50, 4,779.83 and 1,971.48 is: 2,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.50 : 4,779.83 = 1,971.48 : x
  2. Step 2: Convert to fraction form
    3,463.50/4,779.83 = 1,971.48/x
  3. Step 3: Cross multiply
    3,463.50x = 4,779.83 × 1,971.48
  4. Step 4: Simplify right side
    3,463.50x = 9,423,344.18
  5. Step 5: Solve for x
    x = 9,423,344.18/3,463.50
  6. Step 6: Final answer
    x = 2,720.76

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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.