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Finding the Fourth Proportional to 1,609.66, 2,221.49 and 1,539.60

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Solution

The fourth proportional to 1,609.66, 2,221.49 and 1,539.60 is: 2,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.66 : 2,221.49 = 1,539.60 : x
  2. Step 2: Convert to fraction form
    1,609.66/2,221.49 = 1,539.60/x
  3. Step 3: Cross multiply
    1,609.66x = 2,221.49 × 1,539.60
  4. Step 4: Simplify right side
    1,609.66x = 3,420,206.00
  5. Step 5: Solve for x
    x = 3,420,206.00/1,609.66
  6. Step 6: Final answer
    x = 2,124.80

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1.5x scale

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.