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Finding the Fourth Proportional to 1,602.70, 2,399.96 and 1,356.66

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Solution

The fourth proportional to 1,602.70, 2,399.96 and 1,356.66 is: 2,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.70 : 2,399.96 = 1,356.66 : x
  2. Step 2: Convert to fraction form
    1,602.70/2,399.96 = 1,356.66/x
  3. Step 3: Cross multiply
    1,602.70x = 2,399.96 × 1,356.66
  4. Step 4: Simplify right side
    1,602.70x = 3,255,922.04
  5. Step 5: Solve for x
    x = 3,255,922.04/1,602.70
  6. Step 6: Final answer
    x = 2,031.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.