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Finding the Fourth Proportional to 1,600.40, 2,206.92 and 1,564.64

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Solution

The fourth proportional to 1,600.40, 2,206.92 and 1,564.64 is: 2,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.40 : 2,206.92 = 1,564.64 : x
  2. Step 2: Convert to fraction form
    1,600.40/2,206.92 = 1,564.64/x
  3. Step 3: Cross multiply
    1,600.40x = 2,206.92 × 1,564.64
  4. Step 4: Simplify right side
    1,600.40x = 3,453,035.31
  5. Step 5: Solve for x
    x = 3,453,035.31/1,600.40
  6. Step 6: Final answer
    x = 2,157.61

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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.