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Finding the Fourth Proportional to 1,728.57, 2,580.32 and 1,600.10

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Solution

The fourth proportional to 1,728.57, 2,580.32 and 1,600.10 is: 2,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.57 : 2,580.32 = 1,600.10 : x
  2. Step 2: Convert to fraction form
    1,728.57/2,580.32 = 1,600.10/x
  3. Step 3: Cross multiply
    1,728.57x = 2,580.32 × 1,600.10
  4. Step 4: Simplify right side
    1,728.57x = 4,128,749.13
  5. Step 5: Solve for x
    x = 4,128,749.13/1,728.57
  6. Step 6: Final answer
    x = 2,388.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.