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Finding the Fourth Proportional to 2,569.72, 3,544.85 and 1,728.99

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Solution

The fourth proportional to 2,569.72, 3,544.85 and 1,728.99 is: 2,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.72 : 3,544.85 = 1,728.99 : x
  2. Step 2: Convert to fraction form
    2,569.72/3,544.85 = 1,728.99/x
  3. Step 3: Cross multiply
    2,569.72x = 3,544.85 × 1,728.99
  4. Step 4: Simplify right side
    2,569.72x = 6,129,001.56
  5. Step 5: Solve for x
    x = 6,129,001.56/2,569.72
  6. Step 6: Final answer
    x = 2,385.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.