Home / 3,051.71-4,577.57-743.21

Finding the Fourth Proportional to 3,051.71, 4,577.57 and 743.21

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Solution

The fourth proportional to 3,051.71, 4,577.57 and 743.21 is: 1,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.71 : 4,577.57 = 743.21 : x
  2. Step 2: Convert to fraction form
    3,051.71/4,577.57 = 743.21/x
  3. Step 3: Cross multiply
    3,051.71x = 4,577.57 × 743.21
  4. Step 4: Simplify right side
    3,051.71x = 3,402,089.15
  5. Step 5: Solve for x
    x = 3,402,089.15/3,051.71
  6. Step 6: Final answer
    x = 1,114.81

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Why These Related Problems?

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