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Finding the Fourth Proportional to 3,048.31, 4,572.47 and 739.81

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Solution

The fourth proportional to 3,048.31, 4,572.47 and 739.81 is: 1,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.31 : 4,572.47 = 739.81 : x
  2. Step 2: Convert to fraction form
    3,048.31/4,572.47 = 739.81/x
  3. Step 3: Cross multiply
    3,048.31x = 4,572.47 × 739.81
  4. Step 4: Simplify right side
    3,048.31x = 3,382,759.03
  5. Step 5: Solve for x
    x = 3,382,759.03/3,048.31
  6. Step 6: Final answer
    x = 1,109.72

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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.