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Finding the Fourth Proportional to 1,600.34, 2,209.20 and 1,128.62

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Solution

The fourth proportional to 1,600.34, 2,209.20 and 1,128.62 is: 1,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.34 : 2,209.20 = 1,128.62 : x
  2. Step 2: Convert to fraction form
    1,600.34/2,209.20 = 1,128.62/x
  3. Step 3: Cross multiply
    1,600.34x = 2,209.20 × 1,128.62
  4. Step 4: Simplify right side
    1,600.34x = 2,493,336.26
  5. Step 5: Solve for x
    x = 2,493,336.26/1,600.34
  6. Step 6: Final answer
    x = 1,558.01

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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.