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Finding the Fourth Proportional to 3,463.77, 4,779.81 and 1,971.66

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Solution

The fourth proportional to 3,463.77, 4,779.81 and 1,971.66 is: 2,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.77 : 4,779.81 = 1,971.66 : x
  2. Step 2: Convert to fraction form
    3,463.77/4,779.81 = 1,971.66/x
  3. Step 3: Cross multiply
    3,463.77x = 4,779.81 × 1,971.66
  4. Step 4: Simplify right side
    3,463.77x = 9,424,160.18
  5. Step 5: Solve for x
    x = 9,424,160.18/3,463.77
  6. Step 6: Final answer
    x = 2,720.78

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1.5x scale

Why These Related Problems?

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