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Finding the Fourth Proportional to 1,573.02, 2,170.02 and 1,221.30

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Solution

The fourth proportional to 1,573.02, 2,170.02 and 1,221.30 is: 1,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.02 : 2,170.02 = 1,221.30 : x
  2. Step 2: Convert to fraction form
    1,573.02/2,170.02 = 1,221.30/x
  3. Step 3: Cross multiply
    1,573.02x = 2,170.02 × 1,221.30
  4. Step 4: Simplify right side
    1,573.02x = 2,650,245.43
  5. Step 5: Solve for x
    x = 2,650,245.43/1,573.02
  6. Step 6: Final answer
    x = 1,684.81

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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.