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Finding the Fourth Proportional to 1,592.80, 2,385.36 and 1,469.92

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Solution

The fourth proportional to 1,592.80, 2,385.36 and 1,469.92 is: 2,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.80 : 2,385.36 = 1,469.92 : x
  2. Step 2: Convert to fraction form
    1,592.80/2,385.36 = 1,469.92/x
  3. Step 3: Cross multiply
    1,592.80x = 2,385.36 × 1,469.92
  4. Step 4: Simplify right side
    1,592.80x = 3,506,288.37
  5. Step 5: Solve for x
    x = 3,506,288.37/1,592.80
  6. Step 6: Final answer
    x = 2,201.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.