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Finding the Fourth Proportional to 3,675.60, 5,510.88 and 1,728

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Solution

The fourth proportional to 3,675.60, 5,510.88 and 1,728 is: 2,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.60 : 5,510.88 = 1,728 : x
  2. Step 2: Convert to fraction form
    3,675.60/5,510.88 = 1,728/x
  3. Step 3: Cross multiply
    3,675.60x = 5,510.88 × 1,728
  4. Step 4: Simplify right side
    3,675.60x = 9,522,800.64
  5. Step 5: Solve for x
    x = 9,522,800.64/3,675.60
  6. Step 6: Final answer
    x = 2,590.82

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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.