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Finding the Fourth Proportional to 1,728.24, 2,401.54 and 1,710.48

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Solution

The fourth proportional to 1,728.24, 2,401.54 and 1,710.48 is: 2,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.24 : 2,401.54 = 1,710.48 : x
  2. Step 2: Convert to fraction form
    1,728.24/2,401.54 = 1,710.48/x
  3. Step 3: Cross multiply
    1,728.24x = 2,401.54 × 1,710.48
  4. Step 4: Simplify right side
    1,728.24x = 4,107,786.14
  5. Step 5: Solve for x
    x = 4,107,786.14/1,728.24
  6. Step 6: Final answer
    x = 2,376.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.