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Finding the Fourth Proportional to 1,738.72, 2,605 and 1,444.50

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Solution

The fourth proportional to 1,738.72, 2,605 and 1,444.50 is: 2,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.72 : 2,605 = 1,444.50 : x
  2. Step 2: Convert to fraction form
    1,738.72/2,605 = 1,444.50/x
  3. Step 3: Cross multiply
    1,738.72x = 2,605 × 1,444.50
  4. Step 4: Simplify right side
    1,738.72x = 3,762,922.50
  5. Step 5: Solve for x
    x = 3,762,922.50/1,738.72
  6. Step 6: Final answer
    x = 2,164.19

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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.