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Finding the Fourth Proportional to 2,052.80, 2,832 and 1,353.28

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Solution

The fourth proportional to 2,052.80, 2,832 and 1,353.28 is: 1,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.80 : 2,832 = 1,353.28 : x
  2. Step 2: Convert to fraction form
    2,052.80/2,832 = 1,353.28/x
  3. Step 3: Cross multiply
    2,052.80x = 2,832 × 1,353.28
  4. Step 4: Simplify right side
    2,052.80x = 3,832,488.96
  5. Step 5: Solve for x
    x = 3,832,488.96/2,052.80
  6. Step 6: Final answer
    x = 1,866.96

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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.