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Finding the Fourth Proportional to 2,038.50, 3,055.94 and 739.68

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Solution

The fourth proportional to 2,038.50, 3,055.94 and 739.68 is: 1,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.50 : 3,055.94 = 739.68 : x
  2. Step 2: Convert to fraction form
    2,038.50/3,055.94 = 739.68/x
  3. Step 3: Cross multiply
    2,038.50x = 3,055.94 × 739.68
  4. Step 4: Simplify right side
    2,038.50x = 2,260,417.70
  5. Step 5: Solve for x
    x = 2,260,417.70/2,038.50
  6. Step 6: Final answer
    x = 1,108.86

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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.